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Finding the Fourth Proportional to 3,730.05, 5,595.08 and 1,776.33

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Solution

The fourth proportional to 3,730.05, 5,595.08 and 1,776.33 is: 2,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.05 : 5,595.08 = 1,776.33 : x
  2. Step 2: Convert to fraction form
    3,730.05/5,595.08 = 1,776.33/x
  3. Step 3: Cross multiply
    3,730.05x = 5,595.08 × 1,776.33
  4. Step 4: Simplify right side
    3,730.05x = 9,938,708.46
  5. Step 5: Solve for x
    x = 9,938,708.46/3,730.05
  6. Step 6: Final answer
    x = 2,664.50

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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.