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Finding the Fourth Proportional to 4,758.63, 7,122.95 and 4,257.14

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Solution

The fourth proportional to 4,758.63, 7,122.95 and 4,257.14 is: 6,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.63 : 7,122.95 = 4,257.14 : x
  2. Step 2: Convert to fraction form
    4,758.63/7,122.95 = 4,257.14/x
  3. Step 3: Cross multiply
    4,758.63x = 7,122.95 × 4,257.14
  4. Step 4: Simplify right side
    4,758.63x = 30,323,376.42
  5. Step 5: Solve for x
    x = 30,323,376.42/4,758.63
  6. Step 6: Final answer
    x = 6,372.29

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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.