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Finding the Fourth Proportional to 3,870.84, 5,339.74 and 2,379.09

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Solution

The fourth proportional to 3,870.84, 5,339.74 and 2,379.09 is: 3,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.84 : 5,339.74 = 2,379.09 : x
  2. Step 2: Convert to fraction form
    3,870.84/5,339.74 = 2,379.09/x
  3. Step 3: Cross multiply
    3,870.84x = 5,339.74 × 2,379.09
  4. Step 4: Simplify right side
    3,870.84x = 12,703,722.04
  5. Step 5: Solve for x
    x = 12,703,722.04/3,870.84
  6. Step 6: Final answer
    x = 3,281.90

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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.