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Finding the Fourth Proportional to 5,102.16, 7,654.32 and 1,815.84

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Solution

The fourth proportional to 5,102.16, 7,654.32 and 1,815.84 is: 2,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.16 : 7,654.32 = 1,815.84 : x
  2. Step 2: Convert to fraction form
    5,102.16/7,654.32 = 1,815.84/x
  3. Step 3: Cross multiply
    5,102.16x = 7,654.32 × 1,815.84
  4. Step 4: Simplify right side
    5,102.16x = 13,899,020.43
  5. Step 5: Solve for x
    x = 13,899,020.43/5,102.16
  6. Step 6: Final answer
    x = 2,724.14

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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.