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Finding the Fourth Proportional to 3,870.80, 5,805.64 and 1,650.52

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Solution

The fourth proportional to 3,870.80, 5,805.64 and 1,650.52 is: 2,475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.80 : 5,805.64 = 1,650.52 : x
  2. Step 2: Convert to fraction form
    3,870.80/5,805.64 = 1,650.52/x
  3. Step 3: Cross multiply
    3,870.80x = 5,805.64 × 1,650.52
  4. Step 4: Simplify right side
    3,870.80x = 9,582,324.93
  5. Step 5: Solve for x
    x = 9,582,324.93/3,870.80
  6. Step 6: Final answer
    x = 2,475.54

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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.