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Finding the Fourth Proportional to 5,934.32, 8,193.16 and 3,810.86

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Solution

The fourth proportional to 5,934.32, 8,193.16 and 3,810.86 is: 5,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.32 : 8,193.16 = 3,810.86 : x
  2. Step 2: Convert to fraction form
    5,934.32/8,193.16 = 3,810.86/x
  3. Step 3: Cross multiply
    5,934.32x = 8,193.16 × 3,810.86
  4. Step 4: Simplify right side
    5,934.32x = 31,222,985.72
  5. Step 5: Solve for x
    x = 31,222,985.72/5,934.32
  6. Step 6: Final answer
    x = 5,261.43

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Double scale
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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.