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Finding the Fourth Proportional to 5,637.60, 8,456.40 and 5,540.40

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Solution

The fourth proportional to 5,637.60, 8,456.40 and 5,540.40 is: 8,310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.60 : 8,456.40 = 5,540.40 : x
  2. Step 2: Convert to fraction form
    5,637.60/8,456.40 = 5,540.40/x
  3. Step 3: Cross multiply
    5,637.60x = 8,456.40 × 5,540.40
  4. Step 4: Simplify right side
    5,637.60x = 46,851,838.56
  5. Step 5: Solve for x
    x = 46,851,838.56/5,637.60
  6. Step 6: Final answer
    x = 8,310.60

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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.