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Finding the Fourth Proportional to 5,564.76, 7,676.76 and 3,205.53

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Solution

The fourth proportional to 5,564.76, 7,676.76 and 3,205.53 is: 4,422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.76 : 7,676.76 = 3,205.53 : x
  2. Step 2: Convert to fraction form
    5,564.76/7,676.76 = 3,205.53/x
  3. Step 3: Cross multiply
    5,564.76x = 7,676.76 × 3,205.53
  4. Step 4: Simplify right side
    5,564.76x = 24,608,084.48
  5. Step 5: Solve for x
    x = 24,608,084.48/5,564.76
  6. Step 6: Final answer
    x = 4,422.13

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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.