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Finding the Fourth Proportional to 3,742.66, 5,613.35 and 1,110.11

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Solution

The fourth proportional to 3,742.66, 5,613.35 and 1,110.11 is: 1,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.66 : 5,613.35 = 1,110.11 : x
  2. Step 2: Convert to fraction form
    3,742.66/5,613.35 = 1,110.11/x
  3. Step 3: Cross multiply
    3,742.66x = 5,613.35 × 1,110.11
  4. Step 4: Simplify right side
    3,742.66x = 6,231,407.90
  5. Step 5: Solve for x
    x = 6,231,407.90/3,742.66
  6. Step 6: Final answer
    x = 1,664.97

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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.