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Finding the Fourth Proportional to 5,565.02, 7,676.17 and 3,885.80

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Solution

The fourth proportional to 5,565.02, 7,676.17 and 3,885.80 is: 5,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.02 : 7,676.17 = 3,885.80 : x
  2. Step 2: Convert to fraction form
    5,565.02/7,676.17 = 3,885.80/x
  3. Step 3: Cross multiply
    5,565.02x = 7,676.17 × 3,885.80
  4. Step 4: Simplify right side
    5,565.02x = 29,828,013.29
  5. Step 5: Solve for x
    x = 29,828,013.29/5,565.02
  6. Step 6: Final answer
    x = 5,359.92

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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.