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Finding the Fourth Proportional to 6,593.58, 9,877.32 and 3,818.52

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Solution

The fourth proportional to 6,593.58, 9,877.32 and 3,818.52 is: 5,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.58 : 9,877.32 = 3,818.52 : x
  2. Step 2: Convert to fraction form
    6,593.58/9,877.32 = 3,818.52/x
  3. Step 3: Cross multiply
    6,593.58x = 9,877.32 × 3,818.52
  4. Step 4: Simplify right side
    6,593.58x = 37,716,743.97
  5. Step 5: Solve for x
    x = 37,716,743.97/6,593.58
  6. Step 6: Final answer
    x = 5,720.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.