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Finding the Fourth Proportional to 5,047.36, 6,965.32 and 2,809.12

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Solution

The fourth proportional to 5,047.36, 6,965.32 and 2,809.12 is: 3,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.36 : 6,965.32 = 2,809.12 : x
  2. Step 2: Convert to fraction form
    5,047.36/6,965.32 = 2,809.12/x
  3. Step 3: Cross multiply
    5,047.36x = 6,965.32 × 2,809.12
  4. Step 4: Simplify right side
    5,047.36x = 19,566,419.72
  5. Step 5: Solve for x
    x = 19,566,419.72/5,047.36
  6. Step 6: Final answer
    x = 3,876.57

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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.