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Finding the Fourth Proportional to 5,764.48, 8,647.18 and 2,476.78

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Solution

The fourth proportional to 5,764.48, 8,647.18 and 2,476.78 is: 3,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.48 : 8,647.18 = 2,476.78 : x
  2. Step 2: Convert to fraction form
    5,764.48/8,647.18 = 2,476.78/x
  3. Step 3: Cross multiply
    5,764.48x = 8,647.18 × 2,476.78
  4. Step 4: Simplify right side
    5,764.48x = 21,417,162.48
  5. Step 5: Solve for x
    x = 21,417,162.48/5,764.48
  6. Step 6: Final answer
    x = 3,715.37

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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.