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Finding the Fourth Proportional to 4,886.52, 6,744.35 and 3,822.18

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Solution

The fourth proportional to 4,886.52, 6,744.35 and 3,822.18 is: 5,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.52 : 6,744.35 = 3,822.18 : x
  2. Step 2: Convert to fraction form
    4,886.52/6,744.35 = 3,822.18/x
  3. Step 3: Cross multiply
    4,886.52x = 6,744.35 × 3,822.18
  4. Step 4: Simplify right side
    4,886.52x = 25,778,119.68
  5. Step 5: Solve for x
    x = 25,778,119.68/4,886.52
  6. Step 6: Final answer
    x = 5,275.35

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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.