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Finding the Fourth Proportional to 5,666.36, 7,815.60 and 3,902.24

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Solution

The fourth proportional to 5,666.36, 7,815.60 and 3,902.24 is: 5,382.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.36 : 7,815.60 = 3,902.24 : x
  2. Step 2: Convert to fraction form
    5,666.36/7,815.60 = 3,902.24/x
  3. Step 3: Cross multiply
    5,666.36x = 7,815.60 × 3,902.24
  4. Step 4: Simplify right side
    5,666.36x = 30,498,346.94
  5. Step 5: Solve for x
    x = 30,498,346.94/5,666.36
  6. Step 6: Final answer
    x = 5,382.35

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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.