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Finding the Fourth Proportional to 5,873.20, 8,809.80 and 5,646.40

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Solution

The fourth proportional to 5,873.20, 8,809.80 and 5,646.40 is: 8,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.20 : 8,809.80 = 5,646.40 : x
  2. Step 2: Convert to fraction form
    5,873.20/8,809.80 = 5,646.40/x
  3. Step 3: Cross multiply
    5,873.20x = 8,809.80 × 5,646.40
  4. Step 4: Simplify right side
    5,873.20x = 49,743,654.72
  5. Step 5: Solve for x
    x = 49,743,654.72/5,873.20
  6. Step 6: Final answer
    x = 8,469.60

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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.