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Finding the Fourth Proportional to 3,443.28, 5,164.12 and 977.43

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Solution

The fourth proportional to 3,443.28, 5,164.12 and 977.43 is: 1,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.28 : 5,164.12 = 977.43 : x
  2. Step 2: Convert to fraction form
    3,443.28/5,164.12 = 977.43/x
  3. Step 3: Cross multiply
    3,443.28x = 5,164.12 × 977.43
  4. Step 4: Simplify right side
    3,443.28x = 5,047,565.81
  5. Step 5: Solve for x
    x = 5,047,565.81/3,443.28
  6. Step 6: Final answer
    x = 1,465.92

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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.