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Finding the Fourth Proportional to 6,595.80, 9,102.38 and 5,021.08

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Solution

The fourth proportional to 6,595.80, 9,102.38 and 5,021.08 is: 6,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.80 : 9,102.38 = 5,021.08 : x
  2. Step 2: Convert to fraction form
    6,595.80/9,102.38 = 5,021.08/x
  3. Step 3: Cross multiply
    6,595.80x = 9,102.38 × 5,021.08
  4. Step 4: Simplify right side
    6,595.80x = 45,703,778.17
  5. Step 5: Solve for x
    x = 45,703,778.17/6,595.80
  6. Step 6: Final answer
    x = 6,929.22

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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.