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Finding the Fourth Proportional to 5,282.66, 7,923.98 and 2,164.12

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Solution

The fourth proportional to 5,282.66, 7,923.98 and 2,164.12 is: 3,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.66 : 7,923.98 = 2,164.12 : x
  2. Step 2: Convert to fraction form
    5,282.66/7,923.98 = 2,164.12/x
  3. Step 3: Cross multiply
    5,282.66x = 7,923.98 × 2,164.12
  4. Step 4: Simplify right side
    5,282.66x = 17,148,443.60
  5. Step 5: Solve for x
    x = 17,148,443.60/5,282.66
  6. Step 6: Final answer
    x = 3,246.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.