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Finding the Fourth Proportional to 4,063, 5,607.18 and 2,294.80

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Solution

The fourth proportional to 4,063, 5,607.18 and 2,294.80 is: 3,166.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063 : 5,607.18 = 2,294.80 : x
  2. Step 2: Convert to fraction form
    4,063/5,607.18 = 2,294.80/x
  3. Step 3: Cross multiply
    4,063x = 5,607.18 × 2,294.80
  4. Step 4: Simplify right side
    4,063x = 12,867,356.66
  5. Step 5: Solve for x
    x = 12,867,356.66/4,063
  6. Step 6: Final answer
    x = 3,166.96

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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.