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Finding the Fourth Proportional to 5,114.48, 7,658.76 and 4,086.32

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Solution

The fourth proportional to 5,114.48, 7,658.76 and 4,086.32 is: 6,119.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.48 : 7,658.76 = 4,086.32 : x
  2. Step 2: Convert to fraction form
    5,114.48/7,658.76 = 4,086.32/x
  3. Step 3: Cross multiply
    5,114.48x = 7,658.76 × 4,086.32
  4. Step 4: Simplify right side
    5,114.48x = 31,296,144.16
  5. Step 5: Solve for x
    x = 31,296,144.16/5,114.48
  6. Step 6: Final answer
    x = 6,119.13

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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.