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Finding the Fourth Proportional to 3,678.81, 5,077.25 and 3,328.08

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Solution

The fourth proportional to 3,678.81, 5,077.25 and 3,328.08 is: 4,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.81 : 5,077.25 = 3,328.08 : x
  2. Step 2: Convert to fraction form
    3,678.81/5,077.25 = 3,328.08/x
  3. Step 3: Cross multiply
    3,678.81x = 5,077.25 × 3,328.08
  4. Step 4: Simplify right side
    3,678.81x = 16,897,494.18
  5. Step 5: Solve for x
    x = 16,897,494.18/3,678.81
  6. Step 6: Final answer
    x = 4,593.20

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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.