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Finding the Fourth Proportional to 4,834.19, 7,251.64 and 1,502

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Solution

The fourth proportional to 4,834.19, 7,251.64 and 1,502 is: 2,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.19 : 7,251.64 = 1,502 : x
  2. Step 2: Convert to fraction form
    4,834.19/7,251.64 = 1,502/x
  3. Step 3: Cross multiply
    4,834.19x = 7,251.64 × 1,502
  4. Step 4: Simplify right side
    4,834.19x = 10,891,963.28
  5. Step 5: Solve for x
    x = 10,891,963.28/4,834.19
  6. Step 6: Final answer
    x = 2,253.11

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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.