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Finding the Fourth Proportional to 4,296.42, 5,931.92 and 3,299.92

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Solution

The fourth proportional to 4,296.42, 5,931.92 and 3,299.92 is: 4,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.42 : 5,931.92 = 3,299.92 : x
  2. Step 2: Convert to fraction form
    4,296.42/5,931.92 = 3,299.92/x
  3. Step 3: Cross multiply
    4,296.42x = 5,931.92 × 3,299.92
  4. Step 4: Simplify right side
    4,296.42x = 19,574,844.95
  5. Step 5: Solve for x
    x = 19,574,844.95/4,296.42
  6. Step 6: Final answer
    x = 4,556.08

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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.