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Finding the Fourth Proportional to 4,347.42, 5,996.88 and 2,776.29

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Solution

The fourth proportional to 4,347.42, 5,996.88 and 2,776.29 is: 3,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.42 : 5,996.88 = 2,776.29 : x
  2. Step 2: Convert to fraction form
    4,347.42/5,996.88 = 2,776.29/x
  3. Step 3: Cross multiply
    4,347.42x = 5,996.88 × 2,776.29
  4. Step 4: Simplify right side
    4,347.42x = 16,649,077.98
  5. Step 5: Solve for x
    x = 16,649,077.98/4,347.42
  6. Step 6: Final answer
    x = 3,829.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.