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Finding the Fourth Proportional to 3,165.87, 4,746.55 and 2,276.92

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Solution

The fourth proportional to 3,165.87, 4,746.55 and 2,276.92 is: 3,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.87 : 4,746.55 = 2,276.92 : x
  2. Step 2: Convert to fraction form
    3,165.87/4,746.55 = 2,276.92/x
  3. Step 3: Cross multiply
    3,165.87x = 4,746.55 × 2,276.92
  4. Step 4: Simplify right side
    3,165.87x = 10,807,514.63
  5. Step 5: Solve for x
    x = 10,807,514.63/3,165.87
  6. Step 6: Final answer
    x = 3,413.76

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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.