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Finding the Fourth Proportional to 5,397.74, 8,097.15 and 1,502.15

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Solution

The fourth proportional to 5,397.74, 8,097.15 and 1,502.15 is: 2,253.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.74 : 8,097.15 = 1,502.15 : x
  2. Step 2: Convert to fraction form
    5,397.74/8,097.15 = 1,502.15/x
  3. Step 3: Cross multiply
    5,397.74x = 8,097.15 × 1,502.15
  4. Step 4: Simplify right side
    5,397.74x = 12,163,085.88
  5. Step 5: Solve for x
    x = 12,163,085.88/5,397.74
  6. Step 6: Final answer
    x = 2,253.37

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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.