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Finding the Fourth Proportional to 3,287.38, 4,931.62 and 1,438.45

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Solution

The fourth proportional to 3,287.38, 4,931.62 and 1,438.45 is: 2,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.38 : 4,931.62 = 1,438.45 : x
  2. Step 2: Convert to fraction form
    3,287.38/4,931.62 = 1,438.45/x
  3. Step 3: Cross multiply
    3,287.38x = 4,931.62 × 1,438.45
  4. Step 4: Simplify right side
    3,287.38x = 7,093,864.13
  5. Step 5: Solve for x
    x = 7,093,864.13/3,287.38
  6. Step 6: Final answer
    x = 2,157.91

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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.