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Finding the Fourth Proportional to 5,815.68, 8,713.80 and 4,659

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Solution

The fourth proportional to 5,815.68, 8,713.80 and 4,659 is: 6,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.68 : 8,713.80 = 4,659 : x
  2. Step 2: Convert to fraction form
    5,815.68/8,713.80 = 4,659/x
  3. Step 3: Cross multiply
    5,815.68x = 8,713.80 × 4,659
  4. Step 4: Simplify right side
    5,815.68x = 40,597,594.20
  5. Step 5: Solve for x
    x = 40,597,594.20/5,815.68
  6. Step 6: Final answer
    x = 6,980.71

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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.