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Finding the Fourth Proportional to 4,005.84, 6,010.48 and 2,154.80

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Solution

The fourth proportional to 4,005.84, 6,010.48 and 2,154.80 is: 3,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.84 : 6,010.48 = 2,154.80 : x
  2. Step 2: Convert to fraction form
    4,005.84/6,010.48 = 2,154.80/x
  3. Step 3: Cross multiply
    4,005.84x = 6,010.48 × 2,154.80
  4. Step 4: Simplify right side
    4,005.84x = 12,951,382.30
  5. Step 5: Solve for x
    x = 12,951,382.30/4,005.84
  6. Step 6: Final answer
    x = 3,233.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.