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Finding the Fourth Proportional to 3,025.86, 4,539.87 and 1,565.97

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Solution

The fourth proportional to 3,025.86, 4,539.87 and 1,565.97 is: 2,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.86 : 4,539.87 = 1,565.97 : x
  2. Step 2: Convert to fraction form
    3,025.86/4,539.87 = 1,565.97/x
  3. Step 3: Cross multiply
    3,025.86x = 4,539.87 × 1,565.97
  4. Step 4: Simplify right side
    3,025.86x = 7,109,300.22
  5. Step 5: Solve for x
    x = 7,109,300.22/3,025.86
  6. Step 6: Final answer
    x = 2,349.51

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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.