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Finding the Fourth Proportional to 3,437.31, 5,155.68 and 972

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Solution

The fourth proportional to 3,437.31, 5,155.68 and 972 is: 1,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.31 : 5,155.68 = 972 : x
  2. Step 2: Convert to fraction form
    3,437.31/5,155.68 = 972/x
  3. Step 3: Cross multiply
    3,437.31x = 5,155.68 × 972
  4. Step 4: Simplify right side
    3,437.31x = 5,011,320.96
  5. Step 5: Solve for x
    x = 5,011,320.96/3,437.31
  6. Step 6: Final answer
    x = 1,457.92

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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.