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Finding the Fourth Proportional to 5,807.25, 8,014 and 3,154.66

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Solution

The fourth proportional to 5,807.25, 8,014 and 3,154.66 is: 4,353.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.25 : 8,014 = 3,154.66 : x
  2. Step 2: Convert to fraction form
    5,807.25/8,014 = 3,154.66/x
  3. Step 3: Cross multiply
    5,807.25x = 8,014 × 3,154.66
  4. Step 4: Simplify right side
    5,807.25x = 25,281,445.24
  5. Step 5: Solve for x
    x = 25,281,445.24/5,807.25
  6. Step 6: Final answer
    x = 4,353.43

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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.