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Finding the Fourth Proportional to 3,021.75, 4,510.79 and 2,805.48

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Solution

The fourth proportional to 3,021.75, 4,510.79 and 2,805.48 is: 4,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.75 : 4,510.79 = 2,805.48 : x
  2. Step 2: Convert to fraction form
    3,021.75/4,510.79 = 2,805.48/x
  3. Step 3: Cross multiply
    3,021.75x = 4,510.79 × 2,805.48
  4. Step 4: Simplify right side
    3,021.75x = 12,654,931.13
  5. Step 5: Solve for x
    x = 12,654,931.13/3,021.75
  6. Step 6: Final answer
    x = 4,187.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.