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Finding the Fourth Proportional to 5,155.64, 7,728.14 and 2,031.42

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Solution

The fourth proportional to 5,155.64, 7,728.14 and 2,031.42 is: 3,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.64 : 7,728.14 = 2,031.42 : x
  2. Step 2: Convert to fraction form
    5,155.64/7,728.14 = 2,031.42/x
  3. Step 3: Cross multiply
    5,155.64x = 7,728.14 × 2,031.42
  4. Step 4: Simplify right side
    5,155.64x = 15,699,098.16
  5. Step 5: Solve for x
    x = 15,699,098.16/5,155.64
  6. Step 6: Final answer
    x = 3,045.03

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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.