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Finding the Fourth Proportional to 6,167.28, 9,260.56 and 3,572

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Solution

The fourth proportional to 6,167.28, 9,260.56 and 3,572 is: 5,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.28 : 9,260.56 = 3,572 : x
  2. Step 2: Convert to fraction form
    6,167.28/9,260.56 = 3,572/x
  3. Step 3: Cross multiply
    6,167.28x = 9,260.56 × 3,572
  4. Step 4: Simplify right side
    6,167.28x = 33,078,720.32
  5. Step 5: Solve for x
    x = 33,078,720.32/6,167.28
  6. Step 6: Final answer
    x = 5,363.58

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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.