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Finding the Fourth Proportional to 4,870.47, 7,297.34 and 3,837.09

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Solution

The fourth proportional to 4,870.47, 7,297.34 and 3,837.09 is: 5,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.47 : 7,297.34 = 3,837.09 : x
  2. Step 2: Convert to fraction form
    4,870.47/7,297.34 = 3,837.09/x
  3. Step 3: Cross multiply
    4,870.47x = 7,297.34 × 3,837.09
  4. Step 4: Simplify right side
    4,870.47x = 28,000,531.16
  5. Step 5: Solve for x
    x = 28,000,531.16/4,870.47
  6. Step 6: Final answer
    x = 5,749.04

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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.