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Finding the Fourth Proportional to 3,141.60, 4,712.40 and 3,020.10

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Solution

The fourth proportional to 3,141.60, 4,712.40 and 3,020.10 is: 4,530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.60 : 4,712.40 = 3,020.10 : x
  2. Step 2: Convert to fraction form
    3,141.60/4,712.40 = 3,020.10/x
  3. Step 3: Cross multiply
    3,141.60x = 4,712.40 × 3,020.10
  4. Step 4: Simplify right side
    3,141.60x = 14,231,919.24
  5. Step 5: Solve for x
    x = 14,231,919.24/3,141.60
  6. Step 6: Final answer
    x = 4,530.15

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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.