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Finding the Fourth Proportional to 5,696.66, 7,860.13 and 3,305.24

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Solution

The fourth proportional to 5,696.66, 7,860.13 and 3,305.24 is: 4,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.66 : 7,860.13 = 3,305.24 : x
  2. Step 2: Convert to fraction form
    5,696.66/7,860.13 = 3,305.24/x
  3. Step 3: Cross multiply
    5,696.66x = 7,860.13 × 3,305.24
  4. Step 4: Simplify right side
    5,696.66x = 25,979,623.34
  5. Step 5: Solve for x
    x = 25,979,623.34/5,696.66
  6. Step 6: Final answer
    x = 4,560.50

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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.