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Finding the Fourth Proportional to 4,870.38, 7,297.32 and 3,837.09

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Solution

The fourth proportional to 4,870.38, 7,297.32 and 3,837.09 is: 5,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.38 : 7,297.32 = 3,837.09 : x
  2. Step 2: Convert to fraction form
    4,870.38/7,297.32 = 3,837.09/x
  3. Step 3: Cross multiply
    4,870.38x = 7,297.32 × 3,837.09
  4. Step 4: Simplify right side
    4,870.38x = 28,000,473.60
  5. Step 5: Solve for x
    x = 28,000,473.60/4,870.38
  6. Step 6: Final answer
    x = 5,749.14

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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.