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Finding the Fourth Proportional to 3,287.39, 4,931.28 and 1,438.63

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Solution

The fourth proportional to 3,287.39, 4,931.28 and 1,438.63 is: 2,158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.39 : 4,931.28 = 1,438.63 : x
  2. Step 2: Convert to fraction form
    3,287.39/4,931.28 = 1,438.63/x
  3. Step 3: Cross multiply
    3,287.39x = 4,931.28 × 1,438.63
  4. Step 4: Simplify right side
    3,287.39x = 7,094,275.02
  5. Step 5: Solve for x
    x = 7,094,275.02/3,287.39
  6. Step 6: Final answer
    x = 2,158.03

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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.