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Finding the Fourth Proportional to 3,127.44, 4,697.24 and 2,302.46

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Solution

The fourth proportional to 3,127.44, 4,697.24 and 2,302.46 is: 3,458.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.44 : 4,697.24 = 2,302.46 : x
  2. Step 2: Convert to fraction form
    3,127.44/4,697.24 = 2,302.46/x
  3. Step 3: Cross multiply
    3,127.44x = 4,697.24 × 2,302.46
  4. Step 4: Simplify right side
    3,127.44x = 10,815,172.21
  5. Step 5: Solve for x
    x = 10,815,172.21/3,127.44
  6. Step 6: Final answer
    x = 3,458.15

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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.