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Finding the Fourth Proportional to 5,766.66, 7,958.39 and 4,347.86

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Solution

The fourth proportional to 5,766.66, 7,958.39 and 4,347.86 is: 6,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.66 : 7,958.39 = 4,347.86 : x
  2. Step 2: Convert to fraction form
    5,766.66/7,958.39 = 4,347.86/x
  3. Step 3: Cross multiply
    5,766.66x = 7,958.39 × 4,347.86
  4. Step 4: Simplify right side
    5,766.66x = 34,601,904.01
  5. Step 5: Solve for x
    x = 34,601,904.01/5,766.66
  6. Step 6: Final answer
    x = 6,000.34

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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.