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Finding the Fourth Proportional to 4,938.98, 7,414.98 and 4,531.46

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Solution

The fourth proportional to 4,938.98, 7,414.98 and 4,531.46 is: 6,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.98 : 7,414.98 = 4,531.46 : x
  2. Step 2: Convert to fraction form
    4,938.98/7,414.98 = 4,531.46/x
  3. Step 3: Cross multiply
    4,938.98x = 7,414.98 × 4,531.46
  4. Step 4: Simplify right side
    4,938.98x = 33,600,685.27
  5. Step 5: Solve for x
    x = 33,600,685.27/4,938.98
  6. Step 6: Final answer
    x = 6,803.16

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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.