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Finding the Fourth Proportional to 5,775.24, 7,969.84 and 3,419.36

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Solution

The fourth proportional to 5,775.24, 7,969.84 and 3,419.36 is: 4,718.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.24 : 7,969.84 = 3,419.36 : x
  2. Step 2: Convert to fraction form
    5,775.24/7,969.84 = 3,419.36/x
  3. Step 3: Cross multiply
    5,775.24x = 7,969.84 × 3,419.36
  4. Step 4: Simplify right side
    5,775.24x = 27,251,752.10
  5. Step 5: Solve for x
    x = 27,251,752.10/5,775.24
  6. Step 6: Final answer
    x = 4,718.72

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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.