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Finding the Fourth Proportional to 5,195.36, 7,828.10 and 4,291.17

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Solution

The fourth proportional to 5,195.36, 7,828.10 and 4,291.17 is: 6,465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.36 : 7,828.10 = 4,291.17 : x
  2. Step 2: Convert to fraction form
    5,195.36/7,828.10 = 4,291.17/x
  3. Step 3: Cross multiply
    5,195.36x = 7,828.10 × 4,291.17
  4. Step 4: Simplify right side
    5,195.36x = 33,591,707.88
  5. Step 5: Solve for x
    x = 33,591,707.88/5,195.36
  6. Step 6: Final answer
    x = 6,465.72

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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.