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Finding the Fourth Proportional to 3,669.86, 5,065.56 and 2,347.13

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Solution

The fourth proportional to 3,669.86, 5,065.56 and 2,347.13 is: 3,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669.86 : 5,065.56 = 2,347.13 : x
  2. Step 2: Convert to fraction form
    3,669.86/5,065.56 = 2,347.13/x
  3. Step 3: Cross multiply
    3,669.86x = 5,065.56 × 2,347.13
  4. Step 4: Simplify right side
    3,669.86x = 11,889,527.84
  5. Step 5: Solve for x
    x = 11,889,527.84/3,669.86
  6. Step 6: Final answer
    x = 3,239.78

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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.