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Finding the Fourth Proportional to 3,565.38, 4,912.89 and 3,210.60

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Solution

The fourth proportional to 3,565.38, 4,912.89 and 3,210.60 is: 4,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.38 : 4,912.89 = 3,210.60 : x
  2. Step 2: Convert to fraction form
    3,565.38/4,912.89 = 3,210.60/x
  3. Step 3: Cross multiply
    3,565.38x = 4,912.89 × 3,210.60
  4. Step 4: Simplify right side
    3,565.38x = 15,773,324.63
  5. Step 5: Solve for x
    x = 15,773,324.63/3,565.38
  6. Step 6: Final answer
    x = 4,424.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.