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Finding the Fourth Proportional to 4,000.68, 5,519.88 and 2,565.54

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Solution

The fourth proportional to 4,000.68, 5,519.88 and 2,565.54 is: 3,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.68 : 5,519.88 = 2,565.54 : x
  2. Step 2: Convert to fraction form
    4,000.68/5,519.88 = 2,565.54/x
  3. Step 3: Cross multiply
    4,000.68x = 5,519.88 × 2,565.54
  4. Step 4: Simplify right side
    4,000.68x = 14,161,472.94
  5. Step 5: Solve for x
    x = 14,161,472.94/4,000.68
  6. Step 6: Final answer
    x = 3,539.77

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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.