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Finding the Fourth Proportional to 3,445.96, 4,748.04 and 3,162.86

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Solution

The fourth proportional to 3,445.96, 4,748.04 and 3,162.86 is: 4,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.96 : 4,748.04 = 3,162.86 : x
  2. Step 2: Convert to fraction form
    3,445.96/4,748.04 = 3,162.86/x
  3. Step 3: Cross multiply
    3,445.96x = 4,748.04 × 3,162.86
  4. Step 4: Simplify right side
    3,445.96x = 15,017,385.79
  5. Step 5: Solve for x
    x = 15,017,385.79/3,445.96
  6. Step 6: Final answer
    x = 4,357.97

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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.