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Finding the Fourth Proportional to 6,356.78, 9,538.81 and 3,438.35

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Solution

The fourth proportional to 6,356.78, 9,538.81 and 3,438.35 is: 5,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.78 : 9,538.81 = 3,438.35 : x
  2. Step 2: Convert to fraction form
    6,356.78/9,538.81 = 3,438.35/x
  3. Step 3: Cross multiply
    6,356.78x = 9,538.81 × 3,438.35
  4. Step 4: Simplify right side
    6,356.78x = 32,797,711.07
  5. Step 5: Solve for x
    x = 32,797,711.07/6,356.78
  6. Step 6: Final answer
    x = 5,159.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.