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Finding the Fourth Proportional to 5,102.40, 7,651.80 and 2,330.40

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Solution

The fourth proportional to 5,102.40, 7,651.80 and 2,330.40 is: 3,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.40 : 7,651.80 = 2,330.40 : x
  2. Step 2: Convert to fraction form
    5,102.40/7,651.80 = 2,330.40/x
  3. Step 3: Cross multiply
    5,102.40x = 7,651.80 × 2,330.40
  4. Step 4: Simplify right side
    5,102.40x = 17,831,754.72
  5. Step 5: Solve for x
    x = 17,831,754.72/5,102.40
  6. Step 6: Final answer
    x = 3,494.78

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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.