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Finding the Fourth Proportional to 4,767.39, 7,151.19 and 1,304.64

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Solution

The fourth proportional to 4,767.39, 7,151.19 and 1,304.64 is: 1,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.39 : 7,151.19 = 1,304.64 : x
  2. Step 2: Convert to fraction form
    4,767.39/7,151.19 = 1,304.64/x
  3. Step 3: Cross multiply
    4,767.39x = 7,151.19 × 1,304.64
  4. Step 4: Simplify right side
    4,767.39x = 9,329,728.52
  5. Step 5: Solve for x
    x = 9,329,728.52/4,767.39
  6. Step 6: Final answer
    x = 1,956.99

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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.