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Finding the Fourth Proportional to 5,669.59, 7,824.03 and 3,279.89

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Solution

The fourth proportional to 5,669.59, 7,824.03 and 3,279.89 is: 4,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.59 : 7,824.03 = 3,279.89 : x
  2. Step 2: Convert to fraction form
    5,669.59/7,824.03 = 3,279.89/x
  3. Step 3: Cross multiply
    5,669.59x = 7,824.03 × 3,279.89
  4. Step 4: Simplify right side
    5,669.59x = 25,661,957.76
  5. Step 5: Solve for x
    x = 25,661,957.76/5,669.59
  6. Step 6: Final answer
    x = 4,526.25

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