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Finding the Fourth Proportional to 3,693.32, 5,097.14 and 2,760.20

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Solution

The fourth proportional to 3,693.32, 5,097.14 and 2,760.20 is: 3,809.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.32 : 5,097.14 = 2,760.20 : x
  2. Step 2: Convert to fraction form
    3,693.32/5,097.14 = 2,760.20/x
  3. Step 3: Cross multiply
    3,693.32x = 5,097.14 × 2,760.20
  4. Step 4: Simplify right side
    3,693.32x = 14,069,125.83
  5. Step 5: Solve for x
    x = 14,069,125.83/3,693.32
  6. Step 6: Final answer
    x = 3,809.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.