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Finding the Fourth Proportional to 5,253.57, 7,834.01 and 4,995.18

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Solution

The fourth proportional to 5,253.57, 7,834.01 and 4,995.18 is: 7,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.57 : 7,834.01 = 4,995.18 : x
  2. Step 2: Convert to fraction form
    5,253.57/7,834.01 = 4,995.18/x
  3. Step 3: Cross multiply
    5,253.57x = 7,834.01 × 4,995.18
  4. Step 4: Simplify right side
    5,253.57x = 39,132,265.10
  5. Step 5: Solve for x
    x = 39,132,265.10/5,253.57
  6. Step 6: Final answer
    x = 7,448.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.