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Finding the Fourth Proportional to 4,245, 6,337.65 and 3,628.92

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Solution

The fourth proportional to 4,245, 6,337.65 and 3,628.92 is: 5,417.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,245 : 6,337.65 = 3,628.92 : x
  2. Step 2: Convert to fraction form
    4,245/6,337.65 = 3,628.92/x
  3. Step 3: Cross multiply
    4,245x = 6,337.65 × 3,628.92
  4. Step 4: Simplify right side
    4,245x = 22,998,824.84
  5. Step 5: Solve for x
    x = 22,998,824.84/4,245
  6. Step 6: Final answer
    x = 5,417.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.