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Finding the Fourth Proportional to 3,434.74, 5,152.47 and 1,126.42

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Solution

The fourth proportional to 3,434.74, 5,152.47 and 1,126.42 is: 1,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.74 : 5,152.47 = 1,126.42 : x
  2. Step 2: Convert to fraction form
    3,434.74/5,152.47 = 1,126.42/x
  3. Step 3: Cross multiply
    3,434.74x = 5,152.47 × 1,126.42
  4. Step 4: Simplify right side
    3,434.74x = 5,803,845.26
  5. Step 5: Solve for x
    x = 5,803,845.26/3,434.74
  6. Step 6: Final answer
    x = 1,689.75

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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.