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Finding the Fourth Proportional to 3,126.39, 4,688.71 and 934.59

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Solution

The fourth proportional to 3,126.39, 4,688.71 and 934.59 is: 1,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.39 : 4,688.71 = 934.59 : x
  2. Step 2: Convert to fraction form
    3,126.39/4,688.71 = 934.59/x
  3. Step 3: Cross multiply
    3,126.39x = 4,688.71 × 934.59
  4. Step 4: Simplify right side
    3,126.39x = 4,382,033.20
  5. Step 5: Solve for x
    x = 4,382,033.20/3,126.39
  6. Step 6: Final answer
    x = 1,401.63

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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.