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Finding the Fourth Proportional to 6,036.48, 8,323.20 and 5,149.44

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Solution

The fourth proportional to 6,036.48, 8,323.20 and 5,149.44 is: 7,100.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.48 : 8,323.20 = 5,149.44 : x
  2. Step 2: Convert to fraction form
    6,036.48/8,323.20 = 5,149.44/x
  3. Step 3: Cross multiply
    6,036.48x = 8,323.20 × 5,149.44
  4. Step 4: Simplify right side
    6,036.48x = 42,859,819.01
  5. Step 5: Solve for x
    x = 42,859,819.01/6,036.48
  6. Step 6: Final answer
    x = 7,100.13

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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.