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Finding the Fourth Proportional to 5,687.69, 7,848.90 and 3,170.01

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Solution

The fourth proportional to 5,687.69, 7,848.90 and 3,170.01 is: 4,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.69 : 7,848.90 = 3,170.01 : x
  2. Step 2: Convert to fraction form
    5,687.69/7,848.90 = 3,170.01/x
  3. Step 3: Cross multiply
    5,687.69x = 7,848.90 × 3,170.01
  4. Step 4: Simplify right side
    5,687.69x = 24,881,091.49
  5. Step 5: Solve for x
    x = 24,881,091.49/5,687.69
  6. Step 6: Final answer
    x = 4,374.56

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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.