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Finding the Fourth Proportional to 3,870.33, 5,340.64 and 2,191.84

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Solution

The fourth proportional to 3,870.33, 5,340.64 and 2,191.84 is: 3,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.33 : 5,340.64 = 2,191.84 : x
  2. Step 2: Convert to fraction form
    3,870.33/5,340.64 = 2,191.84/x
  3. Step 3: Cross multiply
    3,870.33x = 5,340.64 × 2,191.84
  4. Step 4: Simplify right side
    3,870.33x = 11,705,828.38
  5. Step 5: Solve for x
    x = 11,705,828.38/3,870.33
  6. Step 6: Final answer
    x = 3,024.50

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Why These Related Problems?

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