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Finding the Fourth Proportional to 4,463.54, 6,692.88 and 1,864.52

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Solution

The fourth proportional to 4,463.54, 6,692.88 and 1,864.52 is: 2,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.54 : 6,692.88 = 1,864.52 : x
  2. Step 2: Convert to fraction form
    4,463.54/6,692.88 = 1,864.52/x
  3. Step 3: Cross multiply
    4,463.54x = 6,692.88 × 1,864.52
  4. Step 4: Simplify right side
    4,463.54x = 12,479,008.62
  5. Step 5: Solve for x
    x = 12,479,008.62/4,463.54
  6. Step 6: Final answer
    x = 2,795.76

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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.