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Finding the Fourth Proportional to 5,257.92, 7,255.84 and 2,900

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Solution

The fourth proportional to 5,257.92, 7,255.84 and 2,900 is: 4,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.92 : 7,255.84 = 2,900 : x
  2. Step 2: Convert to fraction form
    5,257.92/7,255.84 = 2,900/x
  3. Step 3: Cross multiply
    5,257.92x = 7,255.84 × 2,900
  4. Step 4: Simplify right side
    5,257.92x = 21,041,936
  5. Step 5: Solve for x
    x = 21,041,936/5,257.92
  6. Step 6: Final answer
    x = 4,001.95

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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.