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Finding the Fourth Proportional to 3,870.84, 5,804.34 and 2,759.65

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Solution

The fourth proportional to 3,870.84, 5,804.34 and 2,759.65 is: 4,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.84 : 5,804.34 = 2,759.65 : x
  2. Step 2: Convert to fraction form
    3,870.84/5,804.34 = 2,759.65/x
  3. Step 3: Cross multiply
    3,870.84x = 5,804.34 × 2,759.65
  4. Step 4: Simplify right side
    3,870.84x = 16,017,946.88
  5. Step 5: Solve for x
    x = 16,017,946.88/3,870.84
  6. Step 6: Final answer
    x = 4,138.11

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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.