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Finding the Fourth Proportional to 5,829.44, 8,022.80 and 5,357.36

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Solution

The fourth proportional to 5,829.44, 8,022.80 and 5,357.36 is: 7,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.44 : 8,022.80 = 5,357.36 : x
  2. Step 2: Convert to fraction form
    5,829.44/8,022.80 = 5,357.36/x
  3. Step 3: Cross multiply
    5,829.44x = 8,022.80 × 5,357.36
  4. Step 4: Simplify right side
    5,829.44x = 42,981,027.81
  5. Step 5: Solve for x
    x = 42,981,027.81/5,829.44
  6. Step 6: Final answer
    x = 7,373.10

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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.