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Finding the Fourth Proportional to 5,882.94, 8,115.62 and 3,397.50

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Solution

The fourth proportional to 5,882.94, 8,115.62 and 3,397.50 is: 4,686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.94 : 8,115.62 = 3,397.50 : x
  2. Step 2: Convert to fraction form
    5,882.94/8,115.62 = 3,397.50/x
  3. Step 3: Cross multiply
    5,882.94x = 8,115.62 × 3,397.50
  4. Step 4: Simplify right side
    5,882.94x = 27,572,818.95
  5. Step 5: Solve for x
    x = 27,572,818.95/5,882.94
  6. Step 6: Final answer
    x = 4,686.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.