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Finding the Fourth Proportional to 4,803, 7,206.66 and 2,751

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Solution

The fourth proportional to 4,803, 7,206.66 and 2,751 is: 4,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803 : 7,206.66 = 2,751 : x
  2. Step 2: Convert to fraction form
    4,803/7,206.66 = 2,751/x
  3. Step 3: Cross multiply
    4,803x = 7,206.66 × 2,751
  4. Step 4: Simplify right side
    4,803x = 19,825,521.66
  5. Step 5: Solve for x
    x = 19,825,521.66/4,803
  6. Step 6: Final answer
    x = 4,127.74

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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.