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Finding the Fourth Proportional to 5,387.17, 7,437.98 and 4,126

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Solution

The fourth proportional to 5,387.17, 7,437.98 and 4,126 is: 5,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.17 : 7,437.98 = 4,126 : x
  2. Step 2: Convert to fraction form
    5,387.17/7,437.98 = 4,126/x
  3. Step 3: Cross multiply
    5,387.17x = 7,437.98 × 4,126
  4. Step 4: Simplify right side
    5,387.17x = 30,689,105.48
  5. Step 5: Solve for x
    x = 30,689,105.48/5,387.17
  6. Step 6: Final answer
    x = 5,696.70

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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.