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Finding the Fourth Proportional to 3,478.99, 5,209.84 and 2,434.10

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Solution

The fourth proportional to 3,478.99, 5,209.84 and 2,434.10 is: 3,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.99 : 5,209.84 = 2,434.10 : x
  2. Step 2: Convert to fraction form
    3,478.99/5,209.84 = 2,434.10/x
  3. Step 3: Cross multiply
    3,478.99x = 5,209.84 × 2,434.10
  4. Step 4: Simplify right side
    3,478.99x = 12,681,278.48
  5. Step 5: Solve for x
    x = 12,681,278.48/3,478.99
  6. Step 6: Final answer
    x = 3,645.10

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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.