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Finding the Fourth Proportional to 3,434.52, 5,151.84 and 1,126

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Solution

The fourth proportional to 3,434.52, 5,151.84 and 1,126 is: 1,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.52 : 5,151.84 = 1,126 : x
  2. Step 2: Convert to fraction form
    3,434.52/5,151.84 = 1,126/x
  3. Step 3: Cross multiply
    3,434.52x = 5,151.84 × 1,126
  4. Step 4: Simplify right side
    3,434.52x = 5,800,971.84
  5. Step 5: Solve for x
    x = 5,800,971.84/3,434.52
  6. Step 6: Final answer
    x = 1,689.02

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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.