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Finding the Fourth Proportional to 3,565.87, 5,323.75 and 3,215.95

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Solution

The fourth proportional to 3,565.87, 5,323.75 and 3,215.95 is: 4,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.87 : 5,323.75 = 3,215.95 : x
  2. Step 2: Convert to fraction form
    3,565.87/5,323.75 = 3,215.95/x
  3. Step 3: Cross multiply
    3,565.87x = 5,323.75 × 3,215.95
  4. Step 4: Simplify right side
    3,565.87x = 17,120,892.46
  5. Step 5: Solve for x
    x = 17,120,892.46/3,565.87
  6. Step 6: Final answer
    x = 4,801.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.