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Finding the Fourth Proportional to 4,098.68, 6,154.17 and 2,345.66

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Solution

The fourth proportional to 4,098.68, 6,154.17 and 2,345.66 is: 3,522.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.68 : 6,154.17 = 2,345.66 : x
  2. Step 2: Convert to fraction form
    4,098.68/6,154.17 = 2,345.66/x
  3. Step 3: Cross multiply
    4,098.68x = 6,154.17 × 2,345.66
  4. Step 4: Simplify right side
    4,098.68x = 14,435,601.39
  5. Step 5: Solve for x
    x = 14,435,601.39/4,098.68
  6. Step 6: Final answer
    x = 3,522.01

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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.