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Finding the Fourth Proportional to 3,498.12, 5,242.55 and 1,415.66

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Solution

The fourth proportional to 3,498.12, 5,242.55 and 1,415.66 is: 2,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.12 : 5,242.55 = 1,415.66 : x
  2. Step 2: Convert to fraction form
    3,498.12/5,242.55 = 1,415.66/x
  3. Step 3: Cross multiply
    3,498.12x = 5,242.55 × 1,415.66
  4. Step 4: Simplify right side
    3,498.12x = 7,421,668.33
  5. Step 5: Solve for x
    x = 7,421,668.33/3,498.12
  6. Step 6: Final answer
    x = 2,121.62

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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.