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Finding the Fourth Proportional to 5,754.84, 8,632.62 and 2,292

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Solution

The fourth proportional to 5,754.84, 8,632.62 and 2,292 is: 3,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.84 : 8,632.62 = 2,292 : x
  2. Step 2: Convert to fraction form
    5,754.84/8,632.62 = 2,292/x
  3. Step 3: Cross multiply
    5,754.84x = 8,632.62 × 2,292
  4. Step 4: Simplify right side
    5,754.84x = 19,785,965.04
  5. Step 5: Solve for x
    x = 19,785,965.04/5,754.84
  6. Step 6: Final answer
    x = 3,438.14

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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.