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Finding the Fourth Proportional to 5,905.16, 8,149.44 and 3,549.32

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Solution

The fourth proportional to 5,905.16, 8,149.44 and 3,549.32 is: 4,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.16 : 8,149.44 = 3,549.32 : x
  2. Step 2: Convert to fraction form
    5,905.16/8,149.44 = 3,549.32/x
  3. Step 3: Cross multiply
    5,905.16x = 8,149.44 × 3,549.32
  4. Step 4: Simplify right side
    5,905.16x = 28,924,970.38
  5. Step 5: Solve for x
    x = 28,924,970.38/5,905.16
  6. Step 6: Final answer
    x = 4,898.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.