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Finding the Fourth Proportional to 5,832.66, 8,746.10 and 1,935.76

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Solution

The fourth proportional to 5,832.66, 8,746.10 and 1,935.76 is: 2,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.66 : 8,746.10 = 1,935.76 : x
  2. Step 2: Convert to fraction form
    5,832.66/8,746.10 = 1,935.76/x
  3. Step 3: Cross multiply
    5,832.66x = 8,746.10 × 1,935.76
  4. Step 4: Simplify right side
    5,832.66x = 16,930,350.54
  5. Step 5: Solve for x
    x = 16,930,350.54/5,832.66
  6. Step 6: Final answer
    x = 2,902.68

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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.