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Finding the Fourth Proportional to 3,952.95, 5,929.53 and 1,872.47

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Solution

The fourth proportional to 3,952.95, 5,929.53 and 1,872.47 is: 2,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.95 : 5,929.53 = 1,872.47 : x
  2. Step 2: Convert to fraction form
    3,952.95/5,929.53 = 1,872.47/x
  3. Step 3: Cross multiply
    3,952.95x = 5,929.53 × 1,872.47
  4. Step 4: Simplify right side
    3,952.95x = 11,102,837.39
  5. Step 5: Solve for x
    x = 11,102,837.39/3,952.95
  6. Step 6: Final answer
    x = 2,808.75

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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.