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Finding the Fourth Proportional to 3,443.72, 5,164.85 and 977.87

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Solution

The fourth proportional to 3,443.72, 5,164.85 and 977.87 is: 1,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.72 : 5,164.85 = 977.87 : x
  2. Step 2: Convert to fraction form
    3,443.72/5,164.85 = 977.87/x
  3. Step 3: Cross multiply
    3,443.72x = 5,164.85 × 977.87
  4. Step 4: Simplify right side
    3,443.72x = 5,050,551.87
  5. Step 5: Solve for x
    x = 5,050,551.87/3,443.72
  6. Step 6: Final answer
    x = 1,466.60

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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.