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Finding the Fourth Proportional to 3,602.57, 4,972.31 and 2,275.43

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Solution

The fourth proportional to 3,602.57, 4,972.31 and 2,275.43 is: 3,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.57 : 4,972.31 = 2,275.43 : x
  2. Step 2: Convert to fraction form
    3,602.57/4,972.31 = 2,275.43/x
  3. Step 3: Cross multiply
    3,602.57x = 4,972.31 × 2,275.43
  4. Step 4: Simplify right side
    3,602.57x = 11,314,124.17
  5. Step 5: Solve for x
    x = 11,314,124.17/3,602.57
  6. Step 6: Final answer
    x = 3,140.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.