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Finding the Fourth Proportional to 5,635.79, 7,775.48 and 3,275.99

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Solution

The fourth proportional to 5,635.79, 7,775.48 and 3,275.99 is: 4,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.79 : 7,775.48 = 3,275.99 : x
  2. Step 2: Convert to fraction form
    5,635.79/7,775.48 = 3,275.99/x
  3. Step 3: Cross multiply
    5,635.79x = 7,775.48 × 3,275.99
  4. Step 4: Simplify right side
    5,635.79x = 25,472,339.47
  5. Step 5: Solve for x
    x = 25,472,339.47/5,635.79
  6. Step 6: Final answer
    x = 4,519.75

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