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Finding the Fourth Proportional to 4,089.38, 5,648.48 and 3,557.21

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Solution

The fourth proportional to 4,089.38, 5,648.48 and 3,557.21 is: 4,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.38 : 5,648.48 = 3,557.21 : x
  2. Step 2: Convert to fraction form
    4,089.38/5,648.48 = 3,557.21/x
  3. Step 3: Cross multiply
    4,089.38x = 5,648.48 × 3,557.21
  4. Step 4: Simplify right side
    4,089.38x = 20,092,783.51
  5. Step 5: Solve for x
    x = 20,092,783.51/4,089.38
  6. Step 6: Final answer
    x = 4,913.41

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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.