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Finding the Fourth Proportional to 3,870.24, 5,795.06 and 2,640.08

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Solution

The fourth proportional to 3,870.24, 5,795.06 and 2,640.08 is: 3,953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.24 : 5,795.06 = 2,640.08 : x
  2. Step 2: Convert to fraction form
    3,870.24/5,795.06 = 2,640.08/x
  3. Step 3: Cross multiply
    3,870.24x = 5,795.06 × 2,640.08
  4. Step 4: Simplify right side
    3,870.24x = 15,299,422.00
  5. Step 5: Solve for x
    x = 15,299,422.00/3,870.24
  6. Step 6: Final answer
    x = 3,953.09

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Why These Related Problems?

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