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Finding the Fourth Proportional to 5,721.60, 8,582.40 and 4,069.20

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Solution

The fourth proportional to 5,721.60, 8,582.40 and 4,069.20 is: 6,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.60 : 8,582.40 = 4,069.20 : x
  2. Step 2: Convert to fraction form
    5,721.60/8,582.40 = 4,069.20/x
  3. Step 3: Cross multiply
    5,721.60x = 8,582.40 × 4,069.20
  4. Step 4: Simplify right side
    5,721.60x = 34,923,502.08
  5. Step 5: Solve for x
    x = 34,923,502.08/5,721.60
  6. Step 6: Final answer
    x = 6,103.80

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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.