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Finding the Fourth Proportional to 4,624.80, 6,932.04 and 2,160.24

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Solution

The fourth proportional to 4,624.80, 6,932.04 and 2,160.24 is: 3,237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624.80 : 6,932.04 = 2,160.24 : x
  2. Step 2: Convert to fraction form
    4,624.80/6,932.04 = 2,160.24/x
  3. Step 3: Cross multiply
    4,624.80x = 6,932.04 × 2,160.24
  4. Step 4: Simplify right side
    4,624.80x = 14,974,870.09
  5. Step 5: Solve for x
    x = 14,974,870.09/4,624.80
  6. Step 6: Final answer
    x = 3,237.95

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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.