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Finding the Fourth Proportional to 3,354.01, 5,031.92 and 1,709.66

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Solution

The fourth proportional to 3,354.01, 5,031.92 and 1,709.66 is: 2,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.01 : 5,031.92 = 1,709.66 : x
  2. Step 2: Convert to fraction form
    3,354.01/5,031.92 = 1,709.66/x
  3. Step 3: Cross multiply
    3,354.01x = 5,031.92 × 1,709.66
  4. Step 4: Simplify right side
    3,354.01x = 8,602,860.90
  5. Step 5: Solve for x
    x = 8,602,860.90/3,354.01
  6. Step 6: Final answer
    x = 2,564.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.