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Finding the Fourth Proportional to 3,494.13, 5,242.71 and 1,302.57

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Solution

The fourth proportional to 3,494.13, 5,242.71 and 1,302.57 is: 1,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.13 : 5,242.71 = 1,302.57 : x
  2. Step 2: Convert to fraction form
    3,494.13/5,242.71 = 1,302.57/x
  3. Step 3: Cross multiply
    3,494.13x = 5,242.71 × 1,302.57
  4. Step 4: Simplify right side
    3,494.13x = 6,828,996.76
  5. Step 5: Solve for x
    x = 6,828,996.76/3,494.13
  6. Step 6: Final answer
    x = 1,954.42

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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.