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Finding the Fourth Proportional to 3,952.30, 5,929.06 and 1,354.62

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Solution

The fourth proportional to 3,952.30, 5,929.06 and 1,354.62 is: 2,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.30 : 5,929.06 = 1,354.62 : x
  2. Step 2: Convert to fraction form
    3,952.30/5,929.06 = 1,354.62/x
  3. Step 3: Cross multiply
    3,952.30x = 5,929.06 × 1,354.62
  4. Step 4: Simplify right side
    3,952.30x = 8,031,623.26
  5. Step 5: Solve for x
    x = 8,031,623.26/3,952.30
  6. Step 6: Final answer
    x = 2,032.14

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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.