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Finding the Fourth Proportional to 4,843.12, 7,262 and 1,510.48

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Solution

The fourth proportional to 4,843.12, 7,262 and 1,510.48 is: 2,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.12 : 7,262 = 1,510.48 : x
  2. Step 2: Convert to fraction form
    4,843.12/7,262 = 1,510.48/x
  3. Step 3: Cross multiply
    4,843.12x = 7,262 × 1,510.48
  4. Step 4: Simplify right side
    4,843.12x = 10,969,105.76
  5. Step 5: Solve for x
    x = 10,969,105.76/4,843.12
  6. Step 6: Final answer
    x = 2,264.88

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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.