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Finding the Fourth Proportional to 5,390.38, 7,438.74 and 3,032.56

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Solution

The fourth proportional to 5,390.38, 7,438.74 and 3,032.56 is: 4,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.38 : 7,438.74 = 3,032.56 : x
  2. Step 2: Convert to fraction form
    5,390.38/7,438.74 = 3,032.56/x
  3. Step 3: Cross multiply
    5,390.38x = 7,438.74 × 3,032.56
  4. Step 4: Simplify right side
    5,390.38x = 22,558,388.18
  5. Step 5: Solve for x
    x = 22,558,388.18/5,390.38
  6. Step 6: Final answer
    x = 4,184.94

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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.