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Finding the Fourth Proportional to 5,102.79, 7,654.10 and 2,906.84

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Solution

The fourth proportional to 5,102.79, 7,654.10 and 2,906.84 is: 4,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.79 : 7,654.10 = 2,906.84 : x
  2. Step 2: Convert to fraction form
    5,102.79/7,654.10 = 2,906.84/x
  3. Step 3: Cross multiply
    5,102.79x = 7,654.10 × 2,906.84
  4. Step 4: Simplify right side
    5,102.79x = 22,249,191.24
  5. Step 5: Solve for x
    x = 22,249,191.24/5,102.79
  6. Step 6: Final answer
    x = 4,360.20

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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.