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Finding the Fourth Proportional to 5,779.52, 7,974.59 and 3,421.81

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Solution

The fourth proportional to 5,779.52, 7,974.59 and 3,421.81 is: 4,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.52 : 7,974.59 = 3,421.81 : x
  2. Step 2: Convert to fraction form
    5,779.52/7,974.59 = 3,421.81/x
  3. Step 3: Cross multiply
    5,779.52x = 7,974.59 × 3,421.81
  4. Step 4: Simplify right side
    5,779.52x = 27,287,524.67
  5. Step 5: Solve for x
    x = 27,287,524.67/5,779.52
  6. Step 6: Final answer
    x = 4,721.42

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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.