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Finding the Fourth Proportional to 3,437, 5,154.72 and 972.06

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Solution

The fourth proportional to 3,437, 5,154.72 and 972.06 is: 1,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437 : 5,154.72 = 972.06 : x
  2. Step 2: Convert to fraction form
    3,437/5,154.72 = 972.06/x
  3. Step 3: Cross multiply
    3,437x = 5,154.72 × 972.06
  4. Step 4: Simplify right side
    3,437x = 5,010,697.12
  5. Step 5: Solve for x
    x = 5,010,697.12/3,437
  6. Step 6: Final answer
    x = 1,457.87

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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.