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Finding the Fourth Proportional to 5,152.87, 7,725.78 and 2,377.99

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Solution

The fourth proportional to 5,152.87, 7,725.78 and 2,377.99 is: 3,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.87 : 7,725.78 = 2,377.99 : x
  2. Step 2: Convert to fraction form
    5,152.87/7,725.78 = 2,377.99/x
  3. Step 3: Cross multiply
    5,152.87x = 7,725.78 × 2,377.99
  4. Step 4: Simplify right side
    5,152.87x = 18,371,837.24
  5. Step 5: Solve for x
    x = 18,371,837.24/5,152.87
  6. Step 6: Final answer
    x = 3,565.36

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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.