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Finding the Fourth Proportional to 4,763.80, 6,562.38 and 3,966.76

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Solution

The fourth proportional to 4,763.80, 6,562.38 and 3,966.76 is: 5,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.80 : 6,562.38 = 3,966.76 : x
  2. Step 2: Convert to fraction form
    4,763.80/6,562.38 = 3,966.76/x
  3. Step 3: Cross multiply
    4,763.80x = 6,562.38 × 3,966.76
  4. Step 4: Simplify right side
    4,763.80x = 26,031,386.49
  5. Step 5: Solve for x
    x = 26,031,386.49/4,763.80
  6. Step 6: Final answer
    x = 5,464.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.