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Finding the Fourth Proportional to 6,146.66, 8,479.44 and 4,157.90

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Solution

The fourth proportional to 6,146.66, 8,479.44 and 4,157.90 is: 5,735.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.66 : 8,479.44 = 4,157.90 : x
  2. Step 2: Convert to fraction form
    6,146.66/8,479.44 = 4,157.90/x
  3. Step 3: Cross multiply
    6,146.66x = 8,479.44 × 4,157.90
  4. Step 4: Simplify right side
    6,146.66x = 35,256,663.58
  5. Step 5: Solve for x
    x = 35,256,663.58/6,146.66
  6. Step 6: Final answer
    x = 5,735.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.