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Finding the Fourth Proportional to 5,074.02, 7,614.06 and 2,152.30

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Solution

The fourth proportional to 5,074.02, 7,614.06 and 2,152.30 is: 3,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.02 : 7,614.06 = 2,152.30 : x
  2. Step 2: Convert to fraction form
    5,074.02/7,614.06 = 2,152.30/x
  3. Step 3: Cross multiply
    5,074.02x = 7,614.06 × 2,152.30
  4. Step 4: Simplify right side
    5,074.02x = 16,387,741.34
  5. Step 5: Solve for x
    x = 16,387,741.34/5,074.02
  6. Step 6: Final answer
    x = 3,229.74

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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.