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Finding the Fourth Proportional to 3,208.71, 4,813.51 and 1,564.14

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Solution

The fourth proportional to 3,208.71, 4,813.51 and 1,564.14 is: 2,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.71 : 4,813.51 = 1,564.14 : x
  2. Step 2: Convert to fraction form
    3,208.71/4,813.51 = 1,564.14/x
  3. Step 3: Cross multiply
    3,208.71x = 4,813.51 × 1,564.14
  4. Step 4: Simplify right side
    3,208.71x = 7,528,975.55
  5. Step 5: Solve for x
    x = 7,528,975.55/3,208.71
  6. Step 6: Final answer
    x = 2,346.42

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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.