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Finding the Fourth Proportional to 5,337.17, 7,967.23 and 5,097.53

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Solution

The fourth proportional to 5,337.17, 7,967.23 and 5,097.53 is: 7,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,337.17 : 7,967.23 = 5,097.53 : x
  2. Step 2: Convert to fraction form
    5,337.17/7,967.23 = 5,097.53/x
  3. Step 3: Cross multiply
    5,337.17x = 7,967.23 × 5,097.53
  4. Step 4: Simplify right side
    5,337.17x = 40,613,193.94
  5. Step 5: Solve for x
    x = 40,613,193.94/5,337.17
  6. Step 6: Final answer
    x = 7,609.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.