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Finding the Fourth Proportional to 4,797.76, 7,195.92 and 2,023.60

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Solution

The fourth proportional to 4,797.76, 7,195.92 and 2,023.60 is: 3,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.76 : 7,195.92 = 2,023.60 : x
  2. Step 2: Convert to fraction form
    4,797.76/7,195.92 = 2,023.60/x
  3. Step 3: Cross multiply
    4,797.76x = 7,195.92 × 2,023.60
  4. Step 4: Simplify right side
    4,797.76x = 14,561,663.71
  5. Step 5: Solve for x
    x = 14,561,663.71/4,797.76
  6. Step 6: Final answer
    x = 3,035.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.