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Finding the Fourth Proportional to 6,452.41, 8,904.28 and 3,799.76

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Solution

The fourth proportional to 6,452.41, 8,904.28 and 3,799.76 is: 5,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.41 : 8,904.28 = 3,799.76 : x
  2. Step 2: Convert to fraction form
    6,452.41/8,904.28 = 3,799.76/x
  3. Step 3: Cross multiply
    6,452.41x = 8,904.28 × 3,799.76
  4. Step 4: Simplify right side
    6,452.41x = 33,834,130.16
  5. Step 5: Solve for x
    x = 33,834,130.16/6,452.41
  6. Step 6: Final answer
    x = 5,243.64

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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.