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Finding the Fourth Proportional to 5,153.64, 7,711.31 and 3,074.78

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Solution

The fourth proportional to 5,153.64, 7,711.31 and 3,074.78 is: 4,600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.64 : 7,711.31 = 3,074.78 : x
  2. Step 2: Convert to fraction form
    5,153.64/7,711.31 = 3,074.78/x
  3. Step 3: Cross multiply
    5,153.64x = 7,711.31 × 3,074.78
  4. Step 4: Simplify right side
    5,153.64x = 23,710,581.76
  5. Step 5: Solve for x
    x = 23,710,581.76/5,153.64
  6. Step 6: Final answer
    x = 4,600.74

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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.