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Finding the Fourth Proportional to 5,176.86, 7,765.68 and 3,549.54

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Solution

The fourth proportional to 5,176.86, 7,765.68 and 3,549.54 is: 5,324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.86 : 7,765.68 = 3,549.54 : x
  2. Step 2: Convert to fraction form
    5,176.86/7,765.68 = 3,549.54/x
  3. Step 3: Cross multiply
    5,176.86x = 7,765.68 × 3,549.54
  4. Step 4: Simplify right side
    5,176.86x = 27,564,591.79
  5. Step 5: Solve for x
    x = 27,564,591.79/5,176.86
  6. Step 6: Final answer
    x = 5,324.58

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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.