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Finding the Fourth Proportional to 4,951.71, 7,428.95 and 4,024.98

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Solution

The fourth proportional to 4,951.71, 7,428.95 and 4,024.98 is: 6,038.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.71 : 7,428.95 = 4,024.98 : x
  2. Step 2: Convert to fraction form
    4,951.71/7,428.95 = 4,024.98/x
  3. Step 3: Cross multiply
    4,951.71x = 7,428.95 × 4,024.98
  4. Step 4: Simplify right side
    4,951.71x = 29,901,375.17
  5. Step 5: Solve for x
    x = 29,901,375.17/4,951.71
  6. Step 6: Final answer
    x = 6,038.60

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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.