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Finding the Fourth Proportional to 5,687.84, 7,849.28 and 3,170.12

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Solution

The fourth proportional to 5,687.84, 7,849.28 and 3,170.12 is: 4,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.84 : 7,849.28 = 3,170.12 : x
  2. Step 2: Convert to fraction form
    5,687.84/7,849.28 = 3,170.12/x
  3. Step 3: Cross multiply
    5,687.84x = 7,849.28 × 3,170.12
  4. Step 4: Simplify right side
    5,687.84x = 24,883,159.51
  5. Step 5: Solve for x
    x = 24,883,159.51/5,687.84
  6. Step 6: Final answer
    x = 4,374.80

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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.