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Finding the Fourth Proportional to 4,822.82, 6,655.53 and 2,698.46

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Solution

The fourth proportional to 4,822.82, 6,655.53 and 2,698.46 is: 3,723.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.82 : 6,655.53 = 2,698.46 : x
  2. Step 2: Convert to fraction form
    4,822.82/6,655.53 = 2,698.46/x
  3. Step 3: Cross multiply
    4,822.82x = 6,655.53 × 2,698.46
  4. Step 4: Simplify right side
    4,822.82x = 17,959,648.21
  5. Step 5: Solve for x
    x = 17,959,648.21/4,822.82
  6. Step 6: Final answer
    x = 3,723.89

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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.