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Finding the Fourth Proportional to 3,742.39, 5,613.09 and 1,277.16

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Solution

The fourth proportional to 3,742.39, 5,613.09 and 1,277.16 is: 1,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.39 : 5,613.09 = 1,277.16 : x
  2. Step 2: Convert to fraction form
    3,742.39/5,613.09 = 1,277.16/x
  3. Step 3: Cross multiply
    3,742.39x = 5,613.09 × 1,277.16
  4. Step 4: Simplify right side
    3,742.39x = 7,168,814.02
  5. Step 5: Solve for x
    x = 7,168,814.02/3,742.39
  6. Step 6: Final answer
    x = 1,915.57

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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.