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Finding the Fourth Proportional to 5,341.68, 8,007.05 and 2,564.19

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Solution

The fourth proportional to 5,341.68, 8,007.05 and 2,564.19 is: 3,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.68 : 8,007.05 = 2,564.19 : x
  2. Step 2: Convert to fraction form
    5,341.68/8,007.05 = 2,564.19/x
  3. Step 3: Cross multiply
    5,341.68x = 8,007.05 × 2,564.19
  4. Step 4: Simplify right side
    5,341.68x = 20,531,603.95
  5. Step 5: Solve for x
    x = 20,531,603.95/5,341.68
  6. Step 6: Final answer
    x = 3,843.66

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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.