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Finding the Fourth Proportional to 5,669.58, 8,503.92 and 2,549.76

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Solution

The fourth proportional to 5,669.58, 8,503.92 and 2,549.76 is: 3,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.58 : 8,503.92 = 2,549.76 : x
  2. Step 2: Convert to fraction form
    5,669.58/8,503.92 = 2,549.76/x
  3. Step 3: Cross multiply
    5,669.58x = 8,503.92 × 2,549.76
  4. Step 4: Simplify right side
    5,669.58x = 21,682,955.06
  5. Step 5: Solve for x
    x = 21,682,955.06/5,669.58
  6. Step 6: Final answer
    x = 3,824.44

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