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Finding the Fourth Proportional to 4,739.31, 7,108.93 and 2,266.65

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Solution

The fourth proportional to 4,739.31, 7,108.93 and 2,266.65 is: 3,399.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.31 : 7,108.93 = 2,266.65 : x
  2. Step 2: Convert to fraction form
    4,739.31/7,108.93 = 2,266.65/x
  3. Step 3: Cross multiply
    4,739.31x = 7,108.93 × 2,266.65
  4. Step 4: Simplify right side
    4,739.31x = 16,113,459.02
  5. Step 5: Solve for x
    x = 16,113,459.02/4,739.31
  6. Step 6: Final answer
    x = 3,399.96

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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.