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Finding the Fourth Proportional to 3,596.31, 5,424.85 and 3,407.24

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Solution

The fourth proportional to 3,596.31, 5,424.85 and 3,407.24 is: 5,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.31 : 5,424.85 = 3,407.24 : x
  2. Step 2: Convert to fraction form
    3,596.31/5,424.85 = 3,407.24/x
  3. Step 3: Cross multiply
    3,596.31x = 5,424.85 × 3,407.24
  4. Step 4: Simplify right side
    3,596.31x = 18,483,783.74
  5. Step 5: Solve for x
    x = 18,483,783.74/3,596.31
  6. Step 6: Final answer
    x = 5,139.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.