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Finding the Fourth Proportional to 6,209.76, 8,572.29 and 4,085.38

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Solution

The fourth proportional to 6,209.76, 8,572.29 and 4,085.38 is: 5,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.76 : 8,572.29 = 4,085.38 : x
  2. Step 2: Convert to fraction form
    6,209.76/8,572.29 = 4,085.38/x
  3. Step 3: Cross multiply
    6,209.76x = 8,572.29 × 4,085.38
  4. Step 4: Simplify right side
    6,209.76x = 35,021,036.30
  5. Step 5: Solve for x
    x = 35,021,036.30/6,209.76
  6. Step 6: Final answer
    x = 5,639.68

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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.