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Finding the Fourth Proportional to 3,443.80, 5,165.71 and 846.74

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Solution

The fourth proportional to 3,443.80, 5,165.71 and 846.74 is: 1,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.80 : 5,165.71 = 846.74 : x
  2. Step 2: Convert to fraction form
    3,443.80/5,165.71 = 846.74/x
  3. Step 3: Cross multiply
    3,443.80x = 5,165.71 × 846.74
  4. Step 4: Simplify right side
    3,443.80x = 4,374,013.29
  5. Step 5: Solve for x
    x = 4,374,013.29/3,443.80
  6. Step 6: Final answer
    x = 1,270.11

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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.