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Finding the Fourth Proportional to 5,745.60, 7,929.66 and 3,387.96

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Solution

The fourth proportional to 5,745.60, 7,929.66 and 3,387.96 is: 4,675.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.60 : 7,929.66 = 3,387.96 : x
  2. Step 2: Convert to fraction form
    5,745.60/7,929.66 = 3,387.96/x
  3. Step 3: Cross multiply
    5,745.60x = 7,929.66 × 3,387.96
  4. Step 4: Simplify right side
    5,745.60x = 26,865,370.89
  5. Step 5: Solve for x
    x = 26,865,370.89/5,745.60
  6. Step 6: Final answer
    x = 4,675.82

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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.