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Finding the Fourth Proportional to 4,564.64, 6,299.20 and 2,468.76

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Solution

The fourth proportional to 4,564.64, 6,299.20 and 2,468.76 is: 3,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.64 : 6,299.20 = 2,468.76 : x
  2. Step 2: Convert to fraction form
    4,564.64/6,299.20 = 2,468.76/x
  3. Step 3: Cross multiply
    4,564.64x = 6,299.20 × 2,468.76
  4. Step 4: Simplify right side
    4,564.64x = 15,551,212.99
  5. Step 5: Solve for x
    x = 15,551,212.99/4,564.64
  6. Step 6: Final answer
    x = 3,406.89

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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.