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Finding the Fourth Proportional to 3,806,965.92, 5,708,677.41 and 1,410,167.01

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Solution

The fourth proportional to 3,806,965.92, 5,708,677.41 and 1,410,167.01 is: 2,114,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806,965.92 : 5,708,677.41 = 1,410,167.01 : x
  2. Step 2: Convert to fraction form
    3,806,965.92/5,708,677.41 = 1,410,167.01/x
  3. Step 3: Cross multiply
    3,806,965.92x = 5,708,677.41 × 1,410,167.01
  4. Step 4: Simplify right side
    3,806,965.92x = 8,050,188,528,641.52
  5. Step 5: Solve for x
    x = 8,050,188,528,641.52/3,806,965.92
  6. Step 6: Final answer
    x = 2,114,594.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.