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Finding the Fourth Proportional to 3,564.38, 5,341.85 and 2,580.48

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Solution

The fourth proportional to 3,564.38, 5,341.85 and 2,580.48 is: 3,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.38 : 5,341.85 = 2,580.48 : x
  2. Step 2: Convert to fraction form
    3,564.38/5,341.85 = 2,580.48/x
  3. Step 3: Cross multiply
    3,564.38x = 5,341.85 × 2,580.48
  4. Step 4: Simplify right side
    3,564.38x = 13,784,524.19
  5. Step 5: Solve for x
    x = 13,784,524.19/3,564.38
  6. Step 6: Final answer
    x = 3,867.30

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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.