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Finding the Fourth Proportional to 3,742.30, 5,613.54 and 1,549.54

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Solution

The fourth proportional to 3,742.30, 5,613.54 and 1,549.54 is: 2,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.30 : 5,613.54 = 1,549.54 : x
  2. Step 2: Convert to fraction form
    3,742.30/5,613.54 = 1,549.54/x
  3. Step 3: Cross multiply
    3,742.30x = 5,613.54 × 1,549.54
  4. Step 4: Simplify right side
    3,742.30x = 8,698,404.77
  5. Step 5: Solve for x
    x = 8,698,404.77/3,742.30
  6. Step 6: Final answer
    x = 2,324.35

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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.