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Finding the Fourth Proportional to 3,436.84, 5,146.08 and 2,740.24

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Solution

The fourth proportional to 3,436.84, 5,146.08 and 2,740.24 is: 4,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.84 : 5,146.08 = 2,740.24 : x
  2. Step 2: Convert to fraction form
    3,436.84/5,146.08 = 2,740.24/x
  3. Step 3: Cross multiply
    3,436.84x = 5,146.08 × 2,740.24
  4. Step 4: Simplify right side
    3,436.84x = 14,101,494.26
  5. Step 5: Solve for x
    x = 14,101,494.26/3,436.84
  6. Step 6: Final answer
    x = 4,103.04

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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.