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Finding the Fourth Proportional to 4,765.86, 6,577.17 and 2,641.41

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Solution

The fourth proportional to 4,765.86, 6,577.17 and 2,641.41 is: 3,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.86 : 6,577.17 = 2,641.41 : x
  2. Step 2: Convert to fraction form
    4,765.86/6,577.17 = 2,641.41/x
  3. Step 3: Cross multiply
    4,765.86x = 6,577.17 × 2,641.41
  4. Step 4: Simplify right side
    4,765.86x = 17,373,002.61
  5. Step 5: Solve for x
    x = 17,373,002.61/4,765.86
  6. Step 6: Final answer
    x = 3,645.30

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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.