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Finding the Fourth Proportional to 5,158.42, 7,733.51 and 2,234.69

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Solution

The fourth proportional to 5,158.42, 7,733.51 and 2,234.69 is: 3,350.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.42 : 7,733.51 = 2,234.69 : x
  2. Step 2: Convert to fraction form
    5,158.42/7,733.51 = 2,234.69/x
  3. Step 3: Cross multiply
    5,158.42x = 7,733.51 × 2,234.69
  4. Step 4: Simplify right side
    5,158.42x = 17,281,985.00
  5. Step 5: Solve for x
    x = 17,281,985.00/5,158.42
  6. Step 6: Final answer
    x = 3,350.25

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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.