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Finding the Fourth Proportional to 3,396.72, 5,087.88 and 2,565.84

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Solution

The fourth proportional to 3,396.72, 5,087.88 and 2,565.84 is: 3,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.72 : 5,087.88 = 2,565.84 : x
  2. Step 2: Convert to fraction form
    3,396.72/5,087.88 = 2,565.84/x
  3. Step 3: Cross multiply
    3,396.72x = 5,087.88 × 2,565.84
  4. Step 4: Simplify right side
    3,396.72x = 13,054,686.02
  5. Step 5: Solve for x
    x = 13,054,686.02/3,396.72
  6. Step 6: Final answer
    x = 3,843.32

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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.