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Finding the Fourth Proportional to 4,347.34, 5,996.23 and 3,069.16

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Solution

The fourth proportional to 4,347.34, 5,996.23 and 3,069.16 is: 4,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.34 : 5,996.23 = 3,069.16 : x
  2. Step 2: Convert to fraction form
    4,347.34/5,996.23 = 3,069.16/x
  3. Step 3: Cross multiply
    4,347.34x = 5,996.23 × 3,069.16
  4. Step 4: Simplify right side
    4,347.34x = 18,403,366.60
  5. Step 5: Solve for x
    x = 18,403,366.60/4,347.34
  6. Step 6: Final answer
    x = 4,233.25

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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.