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Finding the Fourth Proportional to 5,356.46, 7,382.46 and 4,519.28

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Solution

The fourth proportional to 5,356.46, 7,382.46 and 4,519.28 is: 6,228.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.46 : 7,382.46 = 4,519.28 : x
  2. Step 2: Convert to fraction form
    5,356.46/7,382.46 = 4,519.28/x
  3. Step 3: Cross multiply
    5,356.46x = 7,382.46 × 4,519.28
  4. Step 4: Simplify right side
    5,356.46x = 33,363,403.83
  5. Step 5: Solve for x
    x = 33,363,403.83/5,356.46
  6. Step 6: Final answer
    x = 6,228.63

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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.