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Finding the Fourth Proportional to 4,968.30, 6,849.04 and 3,471.58

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Solution

The fourth proportional to 4,968.30, 6,849.04 and 3,471.58 is: 4,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.30 : 6,849.04 = 3,471.58 : x
  2. Step 2: Convert to fraction form
    4,968.30/6,849.04 = 3,471.58/x
  3. Step 3: Cross multiply
    4,968.30x = 6,849.04 × 3,471.58
  4. Step 4: Simplify right side
    4,968.30x = 23,776,964.48
  5. Step 5: Solve for x
    x = 23,776,964.48/4,968.30
  6. Step 6: Final answer
    x = 4,785.73

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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.