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Finding the Fourth Proportional to 4,104.96, 5,664.96 and 2,242.08

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Solution

The fourth proportional to 4,104.96, 5,664.96 and 2,242.08 is: 3,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,104.96 : 5,664.96 = 2,242.08 : x
  2. Step 2: Convert to fraction form
    4,104.96/5,664.96 = 2,242.08/x
  3. Step 3: Cross multiply
    4,104.96x = 5,664.96 × 2,242.08
  4. Step 4: Simplify right side
    4,104.96x = 12,701,293.52
  5. Step 5: Solve for x
    x = 12,701,293.52/4,104.96
  6. Step 6: Final answer
    x = 3,094.13

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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.