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Finding the Fourth Proportional to 3,496.26, 5,242.92 and 1,415.88

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Solution

The fourth proportional to 3,496.26, 5,242.92 and 1,415.88 is: 2,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.26 : 5,242.92 = 1,415.88 : x
  2. Step 2: Convert to fraction form
    3,496.26/5,242.92 = 1,415.88/x
  3. Step 3: Cross multiply
    3,496.26x = 5,242.92 × 1,415.88
  4. Step 4: Simplify right side
    3,496.26x = 7,423,345.57
  5. Step 5: Solve for x
    x = 7,423,345.57/3,496.26
  6. Step 6: Final answer
    x = 2,123.22

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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.