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Finding the Fourth Proportional to 4,461.60, 6,687.12 and 3,362.40

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Solution

The fourth proportional to 4,461.60, 6,687.12 and 3,362.40 is: 5,039.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.60 : 6,687.12 = 3,362.40 : x
  2. Step 2: Convert to fraction form
    4,461.60/6,687.12 = 3,362.40/x
  3. Step 3: Cross multiply
    4,461.60x = 6,687.12 × 3,362.40
  4. Step 4: Simplify right side
    4,461.60x = 22,484,772.29
  5. Step 5: Solve for x
    x = 22,484,772.29/4,461.60
  6. Step 6: Final answer
    x = 5,039.62

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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.