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Finding the Fourth Proportional to 6,098.22, 9,146.40 and 2,400.18

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Solution

The fourth proportional to 6,098.22, 9,146.40 and 2,400.18 is: 3,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.22 : 9,146.40 = 2,400.18 : x
  2. Step 2: Convert to fraction form
    6,098.22/9,146.40 = 2,400.18/x
  3. Step 3: Cross multiply
    6,098.22x = 9,146.40 × 2,400.18
  4. Step 4: Simplify right side
    6,098.22x = 21,953,006.35
  5. Step 5: Solve for x
    x = 21,953,006.35/6,098.22
  6. Step 6: Final answer
    x = 3,599.90

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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.