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Finding the Fourth Proportional to 4,691.88, 6,474.80 and 2,596

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Solution

The fourth proportional to 4,691.88, 6,474.80 and 2,596 is: 3,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.88 : 6,474.80 = 2,596 : x
  2. Step 2: Convert to fraction form
    4,691.88/6,474.80 = 2,596/x
  3. Step 3: Cross multiply
    4,691.88x = 6,474.80 × 2,596
  4. Step 4: Simplify right side
    4,691.88x = 16,808,580.80
  5. Step 5: Solve for x
    x = 16,808,580.80/4,691.88
  6. Step 6: Final answer
    x = 3,582.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.