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Finding the Fourth Proportional to 3,742.40, 5,613.60 and 1,109.90

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Solution

The fourth proportional to 3,742.40, 5,613.60 and 1,109.90 is: 1,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.40 : 5,613.60 = 1,109.90 : x
  2. Step 2: Convert to fraction form
    3,742.40/5,613.60 = 1,109.90/x
  3. Step 3: Cross multiply
    3,742.40x = 5,613.60 × 1,109.90
  4. Step 4: Simplify right side
    3,742.40x = 6,230,534.64
  5. Step 5: Solve for x
    x = 6,230,534.64/3,742.40
  6. Step 6: Final answer
    x = 1,664.85

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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.