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Finding the Fourth Proportional to 4,857, 7,284.87 and 1,569.76

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Solution

The fourth proportional to 4,857, 7,284.87 and 1,569.76 is: 2,354.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 7,284.87 = 1,569.76 : x
  2. Step 2: Convert to fraction form
    4,857/7,284.87 = 1,569.76/x
  3. Step 3: Cross multiply
    4,857x = 7,284.87 × 1,569.76
  4. Step 4: Simplify right side
    4,857x = 11,435,497.53
  5. Step 5: Solve for x
    x = 11,435,497.53/4,857
  6. Step 6: Final answer
    x = 2,354.44

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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.