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Finding the Fourth Proportional to 5,765.70, 8,646.30 and 2,476.50

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Solution

The fourth proportional to 5,765.70, 8,646.30 and 2,476.50 is: 3,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.70 : 8,646.30 = 2,476.50 : x
  2. Step 2: Convert to fraction form
    5,765.70/8,646.30 = 2,476.50/x
  3. Step 3: Cross multiply
    5,765.70x = 8,646.30 × 2,476.50
  4. Step 4: Simplify right side
    5,765.70x = 21,412,561.95
  5. Step 5: Solve for x
    x = 21,412,561.95/5,765.70
  6. Step 6: Final answer
    x = 3,713.78

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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.