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Finding the Fourth Proportional to 6,157.40, 8,494.26 and 4,476.20

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Solution

The fourth proportional to 6,157.40, 8,494.26 and 4,476.20 is: 6,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.40 : 8,494.26 = 4,476.20 : x
  2. Step 2: Convert to fraction form
    6,157.40/8,494.26 = 4,476.20/x
  3. Step 3: Cross multiply
    6,157.40x = 8,494.26 × 4,476.20
  4. Step 4: Simplify right side
    6,157.40x = 38,022,006.61
  5. Step 5: Solve for x
    x = 38,022,006.61/6,157.40
  6. Step 6: Final answer
    x = 6,175.01

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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.