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Finding the Fourth Proportional to 5,836.78, 8,054.15 and 3,599.66

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Solution

The fourth proportional to 5,836.78, 8,054.15 and 3,599.66 is: 4,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.78 : 8,054.15 = 3,599.66 : x
  2. Step 2: Convert to fraction form
    5,836.78/8,054.15 = 3,599.66/x
  3. Step 3: Cross multiply
    5,836.78x = 8,054.15 × 3,599.66
  4. Step 4: Simplify right side
    5,836.78x = 28,992,203.73
  5. Step 5: Solve for x
    x = 28,992,203.73/5,836.78
  6. Step 6: Final answer
    x = 4,967.16

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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.