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Finding the Fourth Proportional to 3,045.71, 4,571.28 and 1,565.96

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Solution

The fourth proportional to 3,045.71, 4,571.28 and 1,565.96 is: 2,350.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.71 : 4,571.28 = 1,565.96 : x
  2. Step 2: Convert to fraction form
    3,045.71/4,571.28 = 1,565.96/x
  3. Step 3: Cross multiply
    3,045.71x = 4,571.28 × 1,565.96
  4. Step 4: Simplify right side
    3,045.71x = 7,158,418.77
  5. Step 5: Solve for x
    x = 7,158,418.77/3,045.71
  6. Step 6: Final answer
    x = 2,350.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.