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Finding the Fourth Proportional to 3,456.99, 5,184.87 and 1,116.90

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Solution

The fourth proportional to 3,456.99, 5,184.87 and 1,116.90 is: 1,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.99 : 5,184.87 = 1,116.90 : x
  2. Step 2: Convert to fraction form
    3,456.99/5,184.87 = 1,116.90/x
  3. Step 3: Cross multiply
    3,456.99x = 5,184.87 × 1,116.90
  4. Step 4: Simplify right side
    3,456.99x = 5,790,981.30
  5. Step 5: Solve for x
    x = 5,790,981.30/3,456.99
  6. Step 6: Final answer
    x = 1,675.15

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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.