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Finding the Fourth Proportional to 4,154.64, 6,239.88 and 3,338.16

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Solution

The fourth proportional to 4,154.64, 6,239.88 and 3,338.16 is: 5,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.64 : 6,239.88 = 3,338.16 : x
  2. Step 2: Convert to fraction form
    4,154.64/6,239.88 = 3,338.16/x
  3. Step 3: Cross multiply
    4,154.64x = 6,239.88 × 3,338.16
  4. Step 4: Simplify right side
    4,154.64x = 20,829,717.82
  5. Step 5: Solve for x
    x = 20,829,717.82/4,154.64
  6. Step 6: Final answer
    x = 5,013.60

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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.