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Finding the Fourth Proportional to 5,807.29, 8,014 and 3,154.69

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Solution

The fourth proportional to 5,807.29, 8,014 and 3,154.69 is: 4,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.29 : 8,014 = 3,154.69 : x
  2. Step 2: Convert to fraction form
    5,807.29/8,014 = 3,154.69/x
  3. Step 3: Cross multiply
    5,807.29x = 8,014 × 3,154.69
  4. Step 4: Simplify right side
    5,807.29x = 25,281,685.66
  5. Step 5: Solve for x
    x = 25,281,685.66/5,807.29
  6. Step 6: Final answer
    x = 4,353.44

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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.