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Finding the Fourth Proportional to 3,615.96, 5,423.82 and 1,534.62

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Solution

The fourth proportional to 3,615.96, 5,423.82 and 1,534.62 is: 2,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.96 : 5,423.82 = 1,534.62 : x
  2. Step 2: Convert to fraction form
    3,615.96/5,423.82 = 1,534.62/x
  3. Step 3: Cross multiply
    3,615.96x = 5,423.82 × 1,534.62
  4. Step 4: Simplify right side
    3,615.96x = 8,323,502.65
  5. Step 5: Solve for x
    x = 8,323,502.65/3,615.96
  6. Step 6: Final answer
    x = 2,301.88

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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.