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Finding the Fourth Proportional to 3,436.84, 5,157.66 and 2,139.24

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Solution

The fourth proportional to 3,436.84, 5,157.66 and 2,139.24 is: 3,210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.84 : 5,157.66 = 2,139.24 : x
  2. Step 2: Convert to fraction form
    3,436.84/5,157.66 = 2,139.24/x
  3. Step 3: Cross multiply
    3,436.84x = 5,157.66 × 2,139.24
  4. Step 4: Simplify right side
    3,436.84x = 11,033,472.58
  5. Step 5: Solve for x
    x = 11,033,472.58/3,436.84
  6. Step 6: Final answer
    x = 3,210.35

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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.