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Finding the Fourth Proportional to 4,197.84, 6,296.88 and 2,465.28

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Solution

The fourth proportional to 4,197.84, 6,296.88 and 2,465.28 is: 3,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.84 : 6,296.88 = 2,465.28 : x
  2. Step 2: Convert to fraction form
    4,197.84/6,296.88 = 2,465.28/x
  3. Step 3: Cross multiply
    4,197.84x = 6,296.88 × 2,465.28
  4. Step 4: Simplify right side
    4,197.84x = 15,523,572.33
  5. Step 5: Solve for x
    x = 15,523,572.33/4,197.84
  6. Step 6: Final answer
    x = 3,697.99

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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.