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Finding the Fourth Proportional to 4,870.68, 7,299.66 and 4,252.84

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Solution

The fourth proportional to 4,870.68, 7,299.66 and 4,252.84 is: 6,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.68 : 7,299.66 = 4,252.84 : x
  2. Step 2: Convert to fraction form
    4,870.68/7,299.66 = 4,252.84/x
  3. Step 3: Cross multiply
    4,870.68x = 7,299.66 × 4,252.84
  4. Step 4: Simplify right side
    4,870.68x = 31,044,286.03
  5. Step 5: Solve for x
    x = 31,044,286.03/4,870.68
  6. Step 6: Final answer
    x = 6,373.71

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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.