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Finding the Fourth Proportional to 5,854.91, 8,779.21 and 2,564.17

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Solution

The fourth proportional to 5,854.91, 8,779.21 and 2,564.17 is: 3,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.91 : 8,779.21 = 2,564.17 : x
  2. Step 2: Convert to fraction form
    5,854.91/8,779.21 = 2,564.17/x
  3. Step 3: Cross multiply
    5,854.91x = 8,779.21 × 2,564.17
  4. Step 4: Simplify right side
    5,854.91x = 22,511,386.91
  5. Step 5: Solve for x
    x = 22,511,386.91/5,854.91
  6. Step 6: Final answer
    x = 3,844.87

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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.