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Finding the Fourth Proportional to 5,840.76, 8,764.78 and 2,378

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Solution

The fourth proportional to 5,840.76, 8,764.78 and 2,378 is: 3,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.76 : 8,764.78 = 2,378 : x
  2. Step 2: Convert to fraction form
    5,840.76/8,764.78 = 2,378/x
  3. Step 3: Cross multiply
    5,840.76x = 8,764.78 × 2,378
  4. Step 4: Simplify right side
    5,840.76x = 20,842,646.84
  5. Step 5: Solve for x
    x = 20,842,646.84/5,840.76
  6. Step 6: Final answer
    x = 3,568.48

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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.