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Finding the Fourth Proportional to 3,101.70, 4,673.87 and 2,565.88

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Solution

The fourth proportional to 3,101.70, 4,673.87 and 2,565.88 is: 3,866.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.70 : 4,673.87 = 2,565.88 : x
  2. Step 2: Convert to fraction form
    3,101.70/4,673.87 = 2,565.88/x
  3. Step 3: Cross multiply
    3,101.70x = 4,673.87 × 2,565.88
  4. Step 4: Simplify right side
    3,101.70x = 11,992,589.56
  5. Step 5: Solve for x
    x = 11,992,589.56/3,101.70
  6. Step 6: Final answer
    x = 3,866.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.