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Finding the Fourth Proportional to 4,559, 6,291.43 and 2,463.13

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Solution

The fourth proportional to 4,559, 6,291.43 and 2,463.13 is: 3,399.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559 : 6,291.43 = 2,463.13 : x
  2. Step 2: Convert to fraction form
    4,559/6,291.43 = 2,463.13/x
  3. Step 3: Cross multiply
    4,559x = 6,291.43 × 2,463.13
  4. Step 4: Simplify right side
    4,559x = 15,496,566.20
  5. Step 5: Solve for x
    x = 15,496,566.20/4,559
  6. Step 6: Final answer
    x = 3,399.12

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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.