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Finding the Fourth Proportional to 5,417.81, 8,128.08 and 2,498.16

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Solution

The fourth proportional to 5,417.81, 8,128.08 and 2,498.16 is: 3,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.81 : 8,128.08 = 2,498.16 : x
  2. Step 2: Convert to fraction form
    5,417.81/8,128.08 = 2,498.16/x
  3. Step 3: Cross multiply
    5,417.81x = 8,128.08 × 2,498.16
  4. Step 4: Simplify right side
    5,417.81x = 20,305,274.81
  5. Step 5: Solve for x
    x = 20,305,274.81/5,417.81
  6. Step 6: Final answer
    x = 3,747.88

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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.