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Finding the Fourth Proportional to 4,576.67, 6,857.17 and 2,498.13

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Solution

The fourth proportional to 4,576.67, 6,857.17 and 2,498.13 is: 3,742.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.67 : 6,857.17 = 2,498.13 : x
  2. Step 2: Convert to fraction form
    4,576.67/6,857.17 = 2,498.13/x
  3. Step 3: Cross multiply
    4,576.67x = 6,857.17 × 2,498.13
  4. Step 4: Simplify right side
    4,576.67x = 17,130,089.60
  5. Step 5: Solve for x
    x = 17,130,089.60/4,576.67
  6. Step 6: Final answer
    x = 3,742.92

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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.