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Finding the Fourth Proportional to 3,886.16, 5,362.84 and 2,117.72

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Solution

The fourth proportional to 3,886.16, 5,362.84 and 2,117.72 is: 2,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.16 : 5,362.84 = 2,117.72 : x
  2. Step 2: Convert to fraction form
    3,886.16/5,362.84 = 2,117.72/x
  3. Step 3: Cross multiply
    3,886.16x = 5,362.84 × 2,117.72
  4. Step 4: Simplify right side
    3,886.16x = 11,356,993.52
  5. Step 5: Solve for x
    x = 11,356,993.52/3,886.16
  6. Step 6: Final answer
    x = 2,922.42

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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.