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Finding the Fourth Proportional to 3,498.40, 5,242.74 and 3,393.28

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Solution

The fourth proportional to 3,498.40, 5,242.74 and 3,393.28 is: 5,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.40 : 5,242.74 = 3,393.28 : x
  2. Step 2: Convert to fraction form
    3,498.40/5,242.74 = 3,393.28/x
  3. Step 3: Cross multiply
    3,498.40x = 5,242.74 × 3,393.28
  4. Step 4: Simplify right side
    3,498.40x = 17,790,084.79
  5. Step 5: Solve for x
    x = 17,790,084.79/3,498.40
  6. Step 6: Final answer
    x = 5,085.21

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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.