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Finding the Fourth Proportional to 5,846.73, 8,070.20 and 4,078.90

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Solution

The fourth proportional to 5,846.73, 8,070.20 and 4,078.90 is: 5,630.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.73 : 8,070.20 = 4,078.90 : x
  2. Step 2: Convert to fraction form
    5,846.73/8,070.20 = 4,078.90/x
  3. Step 3: Cross multiply
    5,846.73x = 8,070.20 × 4,078.90
  4. Step 4: Simplify right side
    5,846.73x = 32,917,538.78
  5. Step 5: Solve for x
    x = 32,917,538.78/5,846.73
  6. Step 6: Final answer
    x = 5,630.08

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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.