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Finding the Fourth Proportional to 5,461.66, 8,200.69 and 3,124.31

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Solution

The fourth proportional to 5,461.66, 8,200.69 and 3,124.31 is: 4,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.66 : 8,200.69 = 3,124.31 : x
  2. Step 2: Convert to fraction form
    5,461.66/8,200.69 = 3,124.31/x
  3. Step 3: Cross multiply
    5,461.66x = 8,200.69 × 3,124.31
  4. Step 4: Simplify right side
    5,461.66x = 25,621,448.96
  5. Step 5: Solve for x
    x = 25,621,448.96/5,461.66
  6. Step 6: Final answer
    x = 4,691.15

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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.