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Finding the Fourth Proportional to 5,339.33, 8,009.82 and 2,565.48

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Solution

The fourth proportional to 5,339.33, 8,009.82 and 2,565.48 is: 3,848.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.33 : 8,009.82 = 2,565.48 : x
  2. Step 2: Convert to fraction form
    5,339.33/8,009.82 = 2,565.48/x
  3. Step 3: Cross multiply
    5,339.33x = 8,009.82 × 2,565.48
  4. Step 4: Simplify right side
    5,339.33x = 20,549,033.01
  5. Step 5: Solve for x
    x = 20,549,033.01/5,339.33
  6. Step 6: Final answer
    x = 3,848.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.