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Finding the Fourth Proportional to 5,102.87, 7,654.28 and 1,816.08

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Solution

The fourth proportional to 5,102.87, 7,654.28 and 1,816.08 is: 2,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.87 : 7,654.28 = 1,816.08 : x
  2. Step 2: Convert to fraction form
    5,102.87/7,654.28 = 1,816.08/x
  3. Step 3: Cross multiply
    5,102.87x = 7,654.28 × 1,816.08
  4. Step 4: Simplify right side
    5,102.87x = 13,900,775.74
  5. Step 5: Solve for x
    x = 13,900,775.74/5,102.87
  6. Step 6: Final answer
    x = 2,724.11

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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.