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Finding the Fourth Proportional to 5,696.04, 7,860.62 and 3,144.08

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Solution

The fourth proportional to 5,696.04, 7,860.62 and 3,144.08 is: 4,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.04 : 7,860.62 = 3,144.08 : x
  2. Step 2: Convert to fraction form
    5,696.04/7,860.62 = 3,144.08/x
  3. Step 3: Cross multiply
    5,696.04x = 7,860.62 × 3,144.08
  4. Step 4: Simplify right side
    5,696.04x = 24,714,422.06
  5. Step 5: Solve for x
    x = 24,714,422.06/5,696.04
  6. Step 6: Final answer
    x = 4,338.88

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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.