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Finding the Fourth Proportional to 3,952.98, 5,929.34 and 1,873.98

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Solution

The fourth proportional to 3,952.98, 5,929.34 and 1,873.98 is: 2,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.98 : 5,929.34 = 1,873.98 : x
  2. Step 2: Convert to fraction form
    3,952.98/5,929.34 = 1,873.98/x
  3. Step 3: Cross multiply
    3,952.98x = 5,929.34 × 1,873.98
  4. Step 4: Simplify right side
    3,952.98x = 11,111,455.20
  5. Step 5: Solve for x
    x = 11,111,455.20/3,952.98
  6. Step 6: Final answer
    x = 2,810.91

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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.