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Finding the Fourth Proportional to 5,425.75, 8,125.56 and 4,641.25

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Solution

The fourth proportional to 5,425.75, 8,125.56 and 4,641.25 is: 6,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.75 : 8,125.56 = 4,641.25 : x
  2. Step 2: Convert to fraction form
    5,425.75/8,125.56 = 4,641.25/x
  3. Step 3: Cross multiply
    5,425.75x = 8,125.56 × 4,641.25
  4. Step 4: Simplify right side
    5,425.75x = 37,712,755.35
  5. Step 5: Solve for x
    x = 37,712,755.35/5,425.75
  6. Step 6: Final answer
    x = 6,950.70

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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.