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Finding the Fourth Proportional to 3,641.08, 5,031.50 and 3,102.42

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Solution

The fourth proportional to 3,641.08, 5,031.50 and 3,102.42 is: 4,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.08 : 5,031.50 = 3,102.42 : x
  2. Step 2: Convert to fraction form
    3,641.08/5,031.50 = 3,102.42/x
  3. Step 3: Cross multiply
    3,641.08x = 5,031.50 × 3,102.42
  4. Step 4: Simplify right side
    3,641.08x = 15,609,826.23
  5. Step 5: Solve for x
    x = 15,609,826.23/3,641.08
  6. Step 6: Final answer
    x = 4,287.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.