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Finding the Fourth Proportional to 3,494.27, 5,241.47 and 1,302.55

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Solution

The fourth proportional to 3,494.27, 5,241.47 and 1,302.55 is: 1,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.27 : 5,241.47 = 1,302.55 : x
  2. Step 2: Convert to fraction form
    3,494.27/5,241.47 = 1,302.55/x
  3. Step 3: Cross multiply
    3,494.27x = 5,241.47 × 1,302.55
  4. Step 4: Simplify right side
    3,494.27x = 6,827,257.13
  5. Step 5: Solve for x
    x = 6,827,257.13/3,494.27
  6. Step 6: Final answer
    x = 1,953.84

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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.