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Finding the Fourth Proportional to 5,342.03, 8,005.77 and 3,390.74

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Solution

The fourth proportional to 5,342.03, 8,005.77 and 3,390.74 is: 5,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.03 : 8,005.77 = 3,390.74 : x
  2. Step 2: Convert to fraction form
    5,342.03/8,005.77 = 3,390.74/x
  3. Step 3: Cross multiply
    5,342.03x = 8,005.77 × 3,390.74
  4. Step 4: Simplify right side
    5,342.03x = 27,145,484.57
  5. Step 5: Solve for x
    x = 27,145,484.57/5,342.03
  6. Step 6: Final answer
    x = 5,081.49

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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.