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Finding the Fourth Proportional to 4,597.84, 6,891.28 and 2,646

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Solution

The fourth proportional to 4,597.84, 6,891.28 and 2,646 is: 3,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.84 : 6,891.28 = 2,646 : x
  2. Step 2: Convert to fraction form
    4,597.84/6,891.28 = 2,646/x
  3. Step 3: Cross multiply
    4,597.84x = 6,891.28 × 2,646
  4. Step 4: Simplify right side
    4,597.84x = 18,234,326.88
  5. Step 5: Solve for x
    x = 18,234,326.88/4,597.84
  6. Step 6: Final answer
    x = 3,965.85

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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.