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Finding the Fourth Proportional to 4,165.84, 6,248.72 and 1,087.84

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Solution

The fourth proportional to 4,165.84, 6,248.72 and 1,087.84 is: 1,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.84 : 6,248.72 = 1,087.84 : x
  2. Step 2: Convert to fraction form
    4,165.84/6,248.72 = 1,087.84/x
  3. Step 3: Cross multiply
    4,165.84x = 6,248.72 × 1,087.84
  4. Step 4: Simplify right side
    4,165.84x = 6,797,607.56
  5. Step 5: Solve for x
    x = 6,797,607.56/4,165.84
  6. Step 6: Final answer
    x = 1,631.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.