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Finding the Fourth Proportional to 4,196, 5,790.84 and 2,333.36

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Solution

The fourth proportional to 4,196, 5,790.84 and 2,333.36 is: 3,220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196 : 5,790.84 = 2,333.36 : x
  2. Step 2: Convert to fraction form
    4,196/5,790.84 = 2,333.36/x
  3. Step 3: Cross multiply
    4,196x = 5,790.84 × 2,333.36
  4. Step 4: Simplify right side
    4,196x = 13,512,114.42
  5. Step 5: Solve for x
    x = 13,512,114.42/4,196
  6. Step 6: Final answer
    x = 3,220.24

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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.