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Finding the Fourth Proportional to 3,565.67, 5,341.41 and 3,261.11

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Solution

The fourth proportional to 3,565.67, 5,341.41 and 3,261.11 is: 4,885.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.67 : 5,341.41 = 3,261.11 : x
  2. Step 2: Convert to fraction form
    3,565.67/5,341.41 = 3,261.11/x
  3. Step 3: Cross multiply
    3,565.67x = 5,341.41 × 3,261.11
  4. Step 4: Simplify right side
    3,565.67x = 17,418,898.86
  5. Step 5: Solve for x
    x = 17,418,898.86/3,565.67
  6. Step 6: Final answer
    x = 4,885.18

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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.