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Finding the Fourth Proportional to 3,422.90, 5,134.72 and 1,113.86

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Solution

The fourth proportional to 3,422.90, 5,134.72 and 1,113.86 is: 1,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.90 : 5,134.72 = 1,113.86 : x
  2. Step 2: Convert to fraction form
    3,422.90/5,134.72 = 1,113.86/x
  3. Step 3: Cross multiply
    3,422.90x = 5,134.72 × 1,113.86
  4. Step 4: Simplify right side
    3,422.90x = 5,719,359.22
  5. Step 5: Solve for x
    x = 5,719,359.22/3,422.90
  6. Step 6: Final answer
    x = 1,670.91

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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.