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Finding the Fourth Proportional to 3,176.57, 4,765.97 and 1,421.42

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Solution

The fourth proportional to 3,176.57, 4,765.97 and 1,421.42 is: 2,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.57 : 4,765.97 = 1,421.42 : x
  2. Step 2: Convert to fraction form
    3,176.57/4,765.97 = 1,421.42/x
  3. Step 3: Cross multiply
    3,176.57x = 4,765.97 × 1,421.42
  4. Step 4: Simplify right side
    3,176.57x = 6,774,445.08
  5. Step 5: Solve for x
    x = 6,774,445.08/3,176.57
  6. Step 6: Final answer
    x = 2,132.63

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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.