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Finding the Fourth Proportional to 4,102.59, 5,661.53 and 2,334.19

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Solution

The fourth proportional to 4,102.59, 5,661.53 and 2,334.19 is: 3,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.59 : 5,661.53 = 2,334.19 : x
  2. Step 2: Convert to fraction form
    4,102.59/5,661.53 = 2,334.19/x
  3. Step 3: Cross multiply
    4,102.59x = 5,661.53 × 2,334.19
  4. Step 4: Simplify right side
    4,102.59x = 13,215,086.71
  5. Step 5: Solve for x
    x = 13,215,086.71/4,102.59
  6. Step 6: Final answer
    x = 3,221.16

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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.