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Finding the Fourth Proportional to 4,659.16, 6,987.66 and 2,713

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Solution

The fourth proportional to 4,659.16, 6,987.66 and 2,713 is: 4,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.16 : 6,987.66 = 2,713 : x
  2. Step 2: Convert to fraction form
    4,659.16/6,987.66 = 2,713/x
  3. Step 3: Cross multiply
    4,659.16x = 6,987.66 × 2,713
  4. Step 4: Simplify right side
    4,659.16x = 18,957,521.58
  5. Step 5: Solve for x
    x = 18,957,521.58/4,659.16
  6. Step 6: Final answer
    x = 4,068.87

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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.