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Finding the Fourth Proportional to 5,801, 8,005.34 and 3,148.35

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Solution

The fourth proportional to 5,801, 8,005.34 and 3,148.35 is: 4,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801 : 8,005.34 = 3,148.35 : x
  2. Step 2: Convert to fraction form
    5,801/8,005.34 = 3,148.35/x
  3. Step 3: Cross multiply
    5,801x = 8,005.34 × 3,148.35
  4. Step 4: Simplify right side
    5,801x = 25,203,612.19
  5. Step 5: Solve for x
    x = 25,203,612.19/5,801
  6. Step 6: Final answer
    x = 4,344.70

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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.