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Finding the Fourth Proportional to 3,465.72, 5,203.08 and 2,229.84

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Solution

The fourth proportional to 3,465.72, 5,203.08 and 2,229.84 is: 3,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.72 : 5,203.08 = 2,229.84 : x
  2. Step 2: Convert to fraction form
    3,465.72/5,203.08 = 2,229.84/x
  3. Step 3: Cross multiply
    3,465.72x = 5,203.08 × 2,229.84
  4. Step 4: Simplify right side
    3,465.72x = 11,602,035.91
  5. Step 5: Solve for x
    x = 11,602,035.91/3,465.72
  6. Step 6: Final answer
    x = 3,347.66

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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.