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Finding the Fourth Proportional to 3,436.42, 5,154.58 and 839.38

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Solution

The fourth proportional to 3,436.42, 5,154.58 and 839.38 is: 1,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.42 : 5,154.58 = 839.38 : x
  2. Step 2: Convert to fraction form
    3,436.42/5,154.58 = 839.38/x
  3. Step 3: Cross multiply
    3,436.42x = 5,154.58 × 839.38
  4. Step 4: Simplify right side
    3,436.42x = 4,326,639.52
  5. Step 5: Solve for x
    x = 4,326,639.52/3,436.42
  6. Step 6: Final answer
    x = 1,259.06

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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.