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Finding the Fourth Proportional to 4,564.53, 6,299.05 and 2,468.65

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Solution

The fourth proportional to 4,564.53, 6,299.05 and 2,468.65 is: 3,406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.53 : 6,299.05 = 2,468.65 : x
  2. Step 2: Convert to fraction form
    4,564.53/6,299.05 = 2,468.65/x
  3. Step 3: Cross multiply
    4,564.53x = 6,299.05 × 2,468.65
  4. Step 4: Simplify right side
    4,564.53x = 15,550,149.78
  5. Step 5: Solve for x
    x = 15,550,149.78/4,564.53
  6. Step 6: Final answer
    x = 3,406.74

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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.