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Finding the Fourth Proportional to 3,489.60, 5,234.40 and 3,014.40

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Solution

The fourth proportional to 3,489.60, 5,234.40 and 3,014.40 is: 4,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.60 : 5,234.40 = 3,014.40 : x
  2. Step 2: Convert to fraction form
    3,489.60/5,234.40 = 3,014.40/x
  3. Step 3: Cross multiply
    3,489.60x = 5,234.40 × 3,014.40
  4. Step 4: Simplify right side
    3,489.60x = 15,778,575.36
  5. Step 5: Solve for x
    x = 15,778,575.36/3,489.60
  6. Step 6: Final answer
    x = 4,521.60

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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.