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Finding the Fourth Proportional to 4,465.68, 6,697.56 and 2,799

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Solution

The fourth proportional to 4,465.68, 6,697.56 and 2,799 is: 4,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.68 : 6,697.56 = 2,799 : x
  2. Step 2: Convert to fraction form
    4,465.68/6,697.56 = 2,799/x
  3. Step 3: Cross multiply
    4,465.68x = 6,697.56 × 2,799
  4. Step 4: Simplify right side
    4,465.68x = 18,746,470.44
  5. Step 5: Solve for x
    x = 18,746,470.44/4,465.68
  6. Step 6: Final answer
    x = 4,197.90

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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.