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Finding the Fourth Proportional to 4,866.18, 6,715.38 and 2,770.32

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Solution

The fourth proportional to 4,866.18, 6,715.38 and 2,770.32 is: 3,823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.18 : 6,715.38 = 2,770.32 : x
  2. Step 2: Convert to fraction form
    4,866.18/6,715.38 = 2,770.32/x
  3. Step 3: Cross multiply
    4,866.18x = 6,715.38 × 2,770.32
  4. Step 4: Simplify right side
    4,866.18x = 18,603,751.52
  5. Step 5: Solve for x
    x = 18,603,751.52/4,866.18
  6. Step 6: Final answer
    x = 3,823.07

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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.