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Finding the Fourth Proportional to 5,344.71, 7,382.25 and 4,006.32

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Solution

The fourth proportional to 5,344.71, 7,382.25 and 4,006.32 is: 5,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.71 : 7,382.25 = 4,006.32 : x
  2. Step 2: Convert to fraction form
    5,344.71/7,382.25 = 4,006.32/x
  3. Step 3: Cross multiply
    5,344.71x = 7,382.25 × 4,006.32
  4. Step 4: Simplify right side
    5,344.71x = 29,575,655.82
  5. Step 5: Solve for x
    x = 29,575,655.82/5,344.71
  6. Step 6: Final answer
    x = 5,533.63

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1.5x scale

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.