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Finding the Fourth Proportional to 3,421.61, 5,142.03 and 2,035.19

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Solution

The fourth proportional to 3,421.61, 5,142.03 and 2,035.19 is: 3,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.61 : 5,142.03 = 2,035.19 : x
  2. Step 2: Convert to fraction form
    3,421.61/5,142.03 = 2,035.19/x
  3. Step 3: Cross multiply
    3,421.61x = 5,142.03 × 2,035.19
  4. Step 4: Simplify right side
    3,421.61x = 10,465,008.04
  5. Step 5: Solve for x
    x = 10,465,008.04/3,421.61
  6. Step 6: Final answer
    x = 3,058.50

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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.