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Finding the Fourth Proportional to 3,430.80, 4,732.13 and 2,721.65

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Solution

The fourth proportional to 3,430.80, 4,732.13 and 2,721.65 is: 3,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.80 : 4,732.13 = 2,721.65 : x
  2. Step 2: Convert to fraction form
    3,430.80/4,732.13 = 2,721.65/x
  3. Step 3: Cross multiply
    3,430.80x = 4,732.13 × 2,721.65
  4. Step 4: Simplify right side
    3,430.80x = 12,879,199.84
  5. Step 5: Solve for x
    x = 12,879,199.84/3,430.80
  6. Step 6: Final answer
    x = 3,753.99

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