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Finding the Fourth Proportional to 6,352, 8,765.76 and 4,144

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Solution

The fourth proportional to 6,352, 8,765.76 and 4,144 is: 5,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352 : 8,765.76 = 4,144 : x
  2. Step 2: Convert to fraction form
    6,352/8,765.76 = 4,144/x
  3. Step 3: Cross multiply
    6,352x = 8,765.76 × 4,144
  4. Step 4: Simplify right side
    6,352x = 36,325,309.44
  5. Step 5: Solve for x
    x = 36,325,309.44/6,352
  6. Step 6: Final answer
    x = 5,718.72

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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.