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Finding the Fourth Proportional to 4,857.48, 6,698.01 and 3,282.84

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Solution

The fourth proportional to 4,857.48, 6,698.01 and 3,282.84 is: 4,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.48 : 6,698.01 = 3,282.84 : x
  2. Step 2: Convert to fraction form
    4,857.48/6,698.01 = 3,282.84/x
  3. Step 3: Cross multiply
    4,857.48x = 6,698.01 × 3,282.84
  4. Step 4: Simplify right side
    4,857.48x = 21,988,495.15
  5. Step 5: Solve for x
    x = 21,988,495.15/4,857.48
  6. Step 6: Final answer
    x = 4,526.73

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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.