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Finding the Fourth Proportional to 5,410.55, 8,116.20 and 1,712.85

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Solution

The fourth proportional to 5,410.55, 8,116.20 and 1,712.85 is: 2,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.55 : 8,116.20 = 1,712.85 : x
  2. Step 2: Convert to fraction form
    5,410.55/8,116.20 = 1,712.85/x
  3. Step 3: Cross multiply
    5,410.55x = 8,116.20 × 1,712.85
  4. Step 4: Simplify right side
    5,410.55x = 13,901,833.17
  5. Step 5: Solve for x
    x = 13,901,833.17/5,410.55
  6. Step 6: Final answer
    x = 2,569.39

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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.