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Finding the Fourth Proportional to 5,356.71, 8,034.24 and 3,276

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Solution

The fourth proportional to 5,356.71, 8,034.24 and 3,276 is: 4,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.71 : 8,034.24 = 3,276 : x
  2. Step 2: Convert to fraction form
    5,356.71/8,034.24 = 3,276/x
  3. Step 3: Cross multiply
    5,356.71x = 8,034.24 × 3,276
  4. Step 4: Simplify right side
    5,356.71x = 26,320,170.24
  5. Step 5: Solve for x
    x = 26,320,170.24/5,356.71
  6. Step 6: Final answer
    x = 4,913.50

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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.