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Finding the Fourth Proportional to 5,305.86, 7,959.62 and 1,746.86

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Solution

The fourth proportional to 5,305.86, 7,959.62 and 1,746.86 is: 2,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.86 : 7,959.62 = 1,746.86 : x
  2. Step 2: Convert to fraction form
    5,305.86/7,959.62 = 1,746.86/x
  3. Step 3: Cross multiply
    5,305.86x = 7,959.62 × 1,746.86
  4. Step 4: Simplify right side
    5,305.86x = 13,904,306.36
  5. Step 5: Solve for x
    x = 13,904,306.36/5,305.86
  6. Step 6: Final answer
    x = 2,620.56

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1.5x scale

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.