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Finding the Fourth Proportional to 5,859.68, 8,088.24 and 3,872

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Solution

The fourth proportional to 5,859.68, 8,088.24 and 3,872 is: 5,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.68 : 8,088.24 = 3,872 : x
  2. Step 2: Convert to fraction form
    5,859.68/8,088.24 = 3,872/x
  3. Step 3: Cross multiply
    5,859.68x = 8,088.24 × 3,872
  4. Step 4: Simplify right side
    5,859.68x = 31,317,665.28
  5. Step 5: Solve for x
    x = 31,317,665.28/5,859.68
  6. Step 6: Final answer
    x = 5,344.60

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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.