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Finding the Fourth Proportional to 3,164.47, 4,747.72 and 1,521.14

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Solution

The fourth proportional to 3,164.47, 4,747.72 and 1,521.14 is: 2,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.47 : 4,747.72 = 1,521.14 : x
  2. Step 2: Convert to fraction form
    3,164.47/4,747.72 = 1,521.14/x
  3. Step 3: Cross multiply
    3,164.47x = 4,747.72 × 1,521.14
  4. Step 4: Simplify right side
    3,164.47x = 7,221,923.06
  5. Step 5: Solve for x
    x = 7,221,923.06/3,164.47
  6. Step 6: Final answer
    x = 2,282.19

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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.