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Finding the Fourth Proportional to 4,502.84, 6,754.25 and 1,215.92

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Solution

The fourth proportional to 4,502.84, 6,754.25 and 1,215.92 is: 1,823.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.84 : 6,754.25 = 1,215.92 : x
  2. Step 2: Convert to fraction form
    4,502.84/6,754.25 = 1,215.92/x
  3. Step 3: Cross multiply
    4,502.84x = 6,754.25 × 1,215.92
  4. Step 4: Simplify right side
    4,502.84x = 8,212,638.47
  5. Step 5: Solve for x
    x = 8,212,638.47/4,502.84
  6. Step 6: Final answer
    x = 1,823.88

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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.