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Finding the Fourth Proportional to 4,808.20, 6,643.56 and 3,822.16

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Solution

The fourth proportional to 4,808.20, 6,643.56 and 3,822.16 is: 5,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.20 : 6,643.56 = 3,822.16 : x
  2. Step 2: Convert to fraction form
    4,808.20/6,643.56 = 3,822.16/x
  3. Step 3: Cross multiply
    4,808.20x = 6,643.56 × 3,822.16
  4. Step 4: Simplify right side
    4,808.20x = 25,392,749.29
  5. Step 5: Solve for x
    x = 25,392,749.29/4,808.20
  6. Step 6: Final answer
    x = 5,281.13

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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.