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Finding the Fourth Proportional to 5,723.16, 7,900.38 and 3,862.68

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Solution

The fourth proportional to 5,723.16, 7,900.38 and 3,862.68 is: 5,332.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.16 : 7,900.38 = 3,862.68 : x
  2. Step 2: Convert to fraction form
    5,723.16/7,900.38 = 3,862.68/x
  3. Step 3: Cross multiply
    5,723.16x = 7,900.38 × 3,862.68
  4. Step 4: Simplify right side
    5,723.16x = 30,516,639.82
  5. Step 5: Solve for x
    x = 30,516,639.82/5,723.16
  6. Step 6: Final answer
    x = 5,332.13

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Why These Related Problems?

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