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Finding the Fourth Proportional to 2,572.75, 3,840.08 and 2,510.61

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Solution

The fourth proportional to 2,572.75, 3,840.08 and 2,510.61 is: 3,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.75 : 3,840.08 = 2,510.61 : x
  2. Step 2: Convert to fraction form
    2,572.75/3,840.08 = 2,510.61/x
  3. Step 3: Cross multiply
    2,572.75x = 3,840.08 × 2,510.61
  4. Step 4: Simplify right side
    2,572.75x = 9,640,943.25
  5. Step 5: Solve for x
    x = 9,640,943.25/2,572.75
  6. Step 6: Final answer
    x = 3,747.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.