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Finding the Fourth Proportional to 5,829.60, 8,721.72 and 5,339.28

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Solution

The fourth proportional to 5,829.60, 8,721.72 and 5,339.28 is: 7,988.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.60 : 8,721.72 = 5,339.28 : x
  2. Step 2: Convert to fraction form
    5,829.60/8,721.72 = 5,339.28/x
  3. Step 3: Cross multiply
    5,829.60x = 8,721.72 × 5,339.28
  4. Step 4: Simplify right side
    5,829.60x = 46,567,705.16
  5. Step 5: Solve for x
    x = 46,567,705.16/5,829.60
  6. Step 6: Final answer
    x = 7,988.15

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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.