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Finding the Fourth Proportional to 5,376, 8,061.84 and 2,600.40

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Solution

The fourth proportional to 5,376, 8,061.84 and 2,600.40 is: 3,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376 : 8,061.84 = 2,600.40 : x
  2. Step 2: Convert to fraction form
    5,376/8,061.84 = 2,600.40/x
  3. Step 3: Cross multiply
    5,376x = 8,061.84 × 2,600.40
  4. Step 4: Simplify right side
    5,376x = 20,964,008.74
  5. Step 5: Solve for x
    x = 20,964,008.74/5,376
  6. Step 6: Final answer
    x = 3,899.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.