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Finding the Fourth Proportional to 5,576.61, 8,358.42 and 4,102.11

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Solution

The fourth proportional to 5,576.61, 8,358.42 and 4,102.11 is: 6,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.61 : 8,358.42 = 4,102.11 : x
  2. Step 2: Convert to fraction form
    5,576.61/8,358.42 = 4,102.11/x
  3. Step 3: Cross multiply
    5,576.61x = 8,358.42 × 4,102.11
  4. Step 4: Simplify right side
    5,576.61x = 34,287,173.65
  5. Step 5: Solve for x
    x = 34,287,173.65/5,576.61
  6. Step 6: Final answer
    x = 6,148.39

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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.