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Finding the Fourth Proportional to 4,986, 6,876.72 and 3,870.32

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Solution

The fourth proportional to 4,986, 6,876.72 and 3,870.32 is: 5,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986 : 6,876.72 = 3,870.32 : x
  2. Step 2: Convert to fraction form
    4,986/6,876.72 = 3,870.32/x
  3. Step 3: Cross multiply
    4,986x = 6,876.72 × 3,870.32
  4. Step 4: Simplify right side
    4,986x = 26,615,106.95
  5. Step 5: Solve for x
    x = 26,615,106.95/4,986
  6. Step 6: Final answer
    x = 5,337.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.