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Finding the Fourth Proportional to 3,565.05, 5,347.48 and 967.92

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Solution

The fourth proportional to 3,565.05, 5,347.48 and 967.92 is: 1,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.05 : 5,347.48 = 967.92 : x
  2. Step 2: Convert to fraction form
    3,565.05/5,347.48 = 967.92/x
  3. Step 3: Cross multiply
    3,565.05x = 5,347.48 × 967.92
  4. Step 4: Simplify right side
    3,565.05x = 5,175,932.84
  5. Step 5: Solve for x
    x = 5,175,932.84/3,565.05
  6. Step 6: Final answer
    x = 1,451.85

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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.