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Finding the Fourth Proportional to 3,602.57, 5,403.71 and 1,137.53

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Solution

The fourth proportional to 3,602.57, 5,403.71 and 1,137.53 is: 1,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.57 : 5,403.71 = 1,137.53 : x
  2. Step 2: Convert to fraction form
    3,602.57/5,403.71 = 1,137.53/x
  3. Step 3: Cross multiply
    3,602.57x = 5,403.71 × 1,137.53
  4. Step 4: Simplify right side
    3,602.57x = 6,146,898.59
  5. Step 5: Solve for x
    x = 6,146,898.59/3,602.57
  6. Step 6: Final answer
    x = 1,706.26

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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.