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Finding the Fourth Proportional to 4,202.53, 6,307.68 and 2,123.99

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Solution

The fourth proportional to 4,202.53, 6,307.68 and 2,123.99 is: 3,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.53 : 6,307.68 = 2,123.99 : x
  2. Step 2: Convert to fraction form
    4,202.53/6,307.68 = 2,123.99/x
  3. Step 3: Cross multiply
    4,202.53x = 6,307.68 × 2,123.99
  4. Step 4: Simplify right side
    4,202.53x = 13,397,449.24
  5. Step 5: Solve for x
    x = 13,397,449.24/4,202.53
  6. Step 6: Final answer
    x = 3,187.95

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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.