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Finding the Fourth Proportional to 4,659.40, 6,989.10 and 4,432.60

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Solution

The fourth proportional to 4,659.40, 6,989.10 and 4,432.60 is: 6,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.40 : 6,989.10 = 4,432.60 : x
  2. Step 2: Convert to fraction form
    4,659.40/6,989.10 = 4,432.60/x
  3. Step 3: Cross multiply
    4,659.40x = 6,989.10 × 4,432.60
  4. Step 4: Simplify right side
    4,659.40x = 30,979,884.66
  5. Step 5: Solve for x
    x = 30,979,884.66/4,659.40
  6. Step 6: Final answer
    x = 6,648.90

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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.