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Finding the Fourth Proportional to 4,417.88, 6,618.15 and 2,565.11

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Solution

The fourth proportional to 4,417.88, 6,618.15 and 2,565.11 is: 3,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.88 : 6,618.15 = 2,565.11 : x
  2. Step 2: Convert to fraction form
    4,417.88/6,618.15 = 2,565.11/x
  3. Step 3: Cross multiply
    4,417.88x = 6,618.15 × 2,565.11
  4. Step 4: Simplify right side
    4,417.88x = 16,976,282.75
  5. Step 5: Solve for x
    x = 16,976,282.75/4,417.88
  6. Step 6: Final answer
    x = 3,842.63

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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.