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Finding the Fourth Proportional to 2,565.58, 3,550.47 and 2,522.38

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Solution

The fourth proportional to 2,565.58, 3,550.47 and 2,522.38 is: 3,490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.58 : 3,550.47 = 2,522.38 : x
  2. Step 2: Convert to fraction form
    2,565.58/3,550.47 = 2,522.38/x
  3. Step 3: Cross multiply
    2,565.58x = 3,550.47 × 2,522.38
  4. Step 4: Simplify right side
    2,565.58x = 8,955,634.52
  5. Step 5: Solve for x
    x = 8,955,634.52/2,565.58
  6. Step 6: Final answer
    x = 3,490.69

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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.