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Finding the Fourth Proportional to 4,482.56, 6,726.72 and 2,432

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Solution

The fourth proportional to 4,482.56, 6,726.72 and 2,432 is: 3,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.56 : 6,726.72 = 2,432 : x
  2. Step 2: Convert to fraction form
    4,482.56/6,726.72 = 2,432/x
  3. Step 3: Cross multiply
    4,482.56x = 6,726.72 × 2,432
  4. Step 4: Simplify right side
    4,482.56x = 16,359,383.04
  5. Step 5: Solve for x
    x = 16,359,383.04/4,482.56
  6. Step 6: Final answer
    x = 3,649.56

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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.