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Finding the Fourth Proportional to 3,714.57, 5,571.80 and 903.43

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Solution

The fourth proportional to 3,714.57, 5,571.80 and 903.43 is: 1,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.57 : 5,571.80 = 903.43 : x
  2. Step 2: Convert to fraction form
    3,714.57/5,571.80 = 903.43/x
  3. Step 3: Cross multiply
    3,714.57x = 5,571.80 × 903.43
  4. Step 4: Simplify right side
    3,714.57x = 5,033,737.11
  5. Step 5: Solve for x
    x = 5,033,737.11/3,714.57
  6. Step 6: Final answer
    x = 1,355.13

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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.