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Finding the Fourth Proportional to 5,616.22, 7,758.84 and 4,785.56

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Solution

The fourth proportional to 5,616.22, 7,758.84 and 4,785.56 is: 6,611.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.22 : 7,758.84 = 4,785.56 : x
  2. Step 2: Convert to fraction form
    5,616.22/7,758.84 = 4,785.56/x
  3. Step 3: Cross multiply
    5,616.22x = 7,758.84 × 4,785.56
  4. Step 4: Simplify right side
    5,616.22x = 37,130,394.35
  5. Step 5: Solve for x
    x = 37,130,394.35/5,616.22
  6. Step 6: Final answer
    x = 6,611.28

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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.