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Finding the Fourth Proportional to 4,009.84, 6,016.48 and 2,158.80

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Solution

The fourth proportional to 4,009.84, 6,016.48 and 2,158.80 is: 3,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.84 : 6,016.48 = 2,158.80 : x
  2. Step 2: Convert to fraction form
    4,009.84/6,016.48 = 2,158.80/x
  3. Step 3: Cross multiply
    4,009.84x = 6,016.48 × 2,158.80
  4. Step 4: Simplify right side
    4,009.84x = 12,988,377.02
  5. Step 5: Solve for x
    x = 12,988,377.02/4,009.84
  6. Step 6: Final answer
    x = 3,239.13

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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.