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Finding the Fourth Proportional to 3,609.16, 5,414.01 and 1,012

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Solution

The fourth proportional to 3,609.16, 5,414.01 and 1,012 is: 1,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.16 : 5,414.01 = 1,012 : x
  2. Step 2: Convert to fraction form
    3,609.16/5,414.01 = 1,012/x
  3. Step 3: Cross multiply
    3,609.16x = 5,414.01 × 1,012
  4. Step 4: Simplify right side
    3,609.16x = 5,478,978.12
  5. Step 5: Solve for x
    x = 5,478,978.12/3,609.16
  6. Step 6: Final answer
    x = 1,518.08

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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.