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Finding the Fourth Proportional to 3,607.32, 5,407.05 and 1,849.88

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Solution

The fourth proportional to 3,607.32, 5,407.05 and 1,849.88 is: 2,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.32 : 5,407.05 = 1,849.88 : x
  2. Step 2: Convert to fraction form
    3,607.32/5,407.05 = 1,849.88/x
  3. Step 3: Cross multiply
    3,607.32x = 5,407.05 × 1,849.88
  4. Step 4: Simplify right side
    3,607.32x = 10,002,393.65
  5. Step 5: Solve for x
    x = 10,002,393.65/3,607.32
  6. Step 6: Final answer
    x = 2,772.80

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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.