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Finding the Fourth Proportional to 3,834.76, 5,294.10 and 2,437

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Solution

The fourth proportional to 3,834.76, 5,294.10 and 2,437 is: 3,364.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.76 : 5,294.10 = 2,437 : x
  2. Step 2: Convert to fraction form
    3,834.76/5,294.10 = 2,437/x
  3. Step 3: Cross multiply
    3,834.76x = 5,294.10 × 2,437
  4. Step 4: Simplify right side
    3,834.76x = 12,901,721.70
  5. Step 5: Solve for x
    x = 12,901,721.70/3,834.76
  6. Step 6: Final answer
    x = 3,364.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.