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Finding the Fourth Proportional to 5,943.54, 8,917.14 and 4,711.53

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Solution

The fourth proportional to 5,943.54, 8,917.14 and 4,711.53 is: 7,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.54 : 8,917.14 = 4,711.53 : x
  2. Step 2: Convert to fraction form
    5,943.54/8,917.14 = 4,711.53/x
  3. Step 3: Cross multiply
    5,943.54x = 8,917.14 × 4,711.53
  4. Step 4: Simplify right side
    5,943.54x = 42,013,372.62
  5. Step 5: Solve for x
    x = 42,013,372.62/5,943.54
  6. Step 6: Final answer
    x = 7,068.75

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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.