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Finding the Fourth Proportional to 5,382.88, 7,428.64 and 3,025.20

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Solution

The fourth proportional to 5,382.88, 7,428.64 and 3,025.20 is: 4,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.88 : 7,428.64 = 3,025.20 : x
  2. Step 2: Convert to fraction form
    5,382.88/7,428.64 = 3,025.20/x
  3. Step 3: Cross multiply
    5,382.88x = 7,428.64 × 3,025.20
  4. Step 4: Simplify right side
    5,382.88x = 22,473,121.73
  5. Step 5: Solve for x
    x = 22,473,121.73/5,382.88
  6. Step 6: Final answer
    x = 4,174.93

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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.