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Finding the Fourth Proportional to 2,592.10, 3,902.15 and 2,362.47

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Solution

The fourth proportional to 2,592.10, 3,902.15 and 2,362.47 is: 3,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.10 : 3,902.15 = 2,362.47 : x
  2. Step 2: Convert to fraction form
    2,592.10/3,902.15 = 2,362.47/x
  3. Step 3: Cross multiply
    2,592.10x = 3,902.15 × 2,362.47
  4. Step 4: Simplify right side
    2,592.10x = 9,218,712.31
  5. Step 5: Solve for x
    x = 9,218,712.31/2,592.10
  6. Step 6: Final answer
    x = 3,556.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.