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Finding the Fourth Proportional to 4,000.77, 5,519.96 and 2,584.52

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Solution

The fourth proportional to 4,000.77, 5,519.96 and 2,584.52 is: 3,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.77 : 5,519.96 = 2,584.52 : x
  2. Step 2: Convert to fraction form
    4,000.77/5,519.96 = 2,584.52/x
  3. Step 3: Cross multiply
    4,000.77x = 5,519.96 × 2,584.52
  4. Step 4: Simplify right side
    4,000.77x = 14,266,447.02
  5. Step 5: Solve for x
    x = 14,266,447.02/4,000.77
  6. Step 6: Final answer
    x = 3,565.93

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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.