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Finding the Fourth Proportional to 5,014.38, 6,916.83 and 3,691.50

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Solution

The fourth proportional to 5,014.38, 6,916.83 and 3,691.50 is: 5,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014.38 : 6,916.83 = 3,691.50 : x
  2. Step 2: Convert to fraction form
    5,014.38/6,916.83 = 3,691.50/x
  3. Step 3: Cross multiply
    5,014.38x = 6,916.83 × 3,691.50
  4. Step 4: Simplify right side
    5,014.38x = 25,533,477.95
  5. Step 5: Solve for x
    x = 25,533,477.95/5,014.38
  6. Step 6: Final answer
    x = 5,092.05

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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.