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Finding the Fourth Proportional to 3,891.40, 5,369.22 and 2,565.16

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Solution

The fourth proportional to 3,891.40, 5,369.22 and 2,565.16 is: 3,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.40 : 5,369.22 = 2,565.16 : x
  2. Step 2: Convert to fraction form
    3,891.40/5,369.22 = 2,565.16/x
  3. Step 3: Cross multiply
    3,891.40x = 5,369.22 × 2,565.16
  4. Step 4: Simplify right side
    3,891.40x = 13,772,908.38
  5. Step 5: Solve for x
    x = 13,772,908.38/3,891.40
  6. Step 6: Final answer
    x = 3,539.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.