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Finding the Fourth Proportional to 3,776.68, 5,664.21 and 1,435.87

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Solution

The fourth proportional to 3,776.68, 5,664.21 and 1,435.87 is: 2,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.68 : 5,664.21 = 1,435.87 : x
  2. Step 2: Convert to fraction form
    3,776.68/5,664.21 = 1,435.87/x
  3. Step 3: Cross multiply
    3,776.68x = 5,664.21 × 1,435.87
  4. Step 4: Simplify right side
    3,776.68x = 8,133,069.21
  5. Step 5: Solve for x
    x = 8,133,069.21/3,776.68
  6. Step 6: Final answer
    x = 2,153.50

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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.