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Finding the Fourth Proportional to 5,739.20, 8,566.96 and 5,048

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Solution

The fourth proportional to 5,739.20, 8,566.96 and 5,048 is: 7,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.20 : 8,566.96 = 5,048 : x
  2. Step 2: Convert to fraction form
    5,739.20/8,566.96 = 5,048/x
  3. Step 3: Cross multiply
    5,739.20x = 8,566.96 × 5,048
  4. Step 4: Simplify right side
    5,739.20x = 43,246,014.08
  5. Step 5: Solve for x
    x = 43,246,014.08/5,739.20
  6. Step 6: Final answer
    x = 7,535.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.