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Finding the Fourth Proportional to 5,105.58, 7,660.98 and 2,332.08

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Solution

The fourth proportional to 5,105.58, 7,660.98 and 2,332.08 is: 3,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.58 : 7,660.98 = 2,332.08 : x
  2. Step 2: Convert to fraction form
    5,105.58/7,660.98 = 2,332.08/x
  3. Step 3: Cross multiply
    5,105.58x = 7,660.98 × 2,332.08
  4. Step 4: Simplify right side
    5,105.58x = 17,866,018.24
  5. Step 5: Solve for x
    x = 17,866,018.24/5,105.58
  6. Step 6: Final answer
    x = 3,499.31

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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.