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Finding the Fourth Proportional to 3,990.60, 5,985.90 and 3,407.40

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Solution

The fourth proportional to 3,990.60, 5,985.90 and 3,407.40 is: 5,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.60 : 5,985.90 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    3,990.60/5,985.90 = 3,407.40/x
  3. Step 3: Cross multiply
    3,990.60x = 5,985.90 × 3,407.40
  4. Step 4: Simplify right side
    3,990.60x = 20,396,355.66
  5. Step 5: Solve for x
    x = 20,396,355.66/3,990.60
  6. Step 6: Final answer
    x = 5,111.10

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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.