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Finding the Fourth Proportional to 5,625.90, 7,755.75 and 3,854.70

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Solution

The fourth proportional to 5,625.90, 7,755.75 and 3,854.70 is: 5,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.90 : 7,755.75 = 3,854.70 : x
  2. Step 2: Convert to fraction form
    5,625.90/7,755.75 = 3,854.70/x
  3. Step 3: Cross multiply
    5,625.90x = 7,755.75 × 3,854.70
  4. Step 4: Simplify right side
    5,625.90x = 29,896,089.53
  5. Step 5: Solve for x
    x = 29,896,089.53/5,625.90
  6. Step 6: Final answer
    x = 5,314.01

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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.