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Finding the Fourth Proportional to 4,705.86, 6,494.60 and 3,004.42

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Solution

The fourth proportional to 4,705.86, 6,494.60 and 3,004.42 is: 4,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.86 : 6,494.60 = 3,004.42 : x
  2. Step 2: Convert to fraction form
    4,705.86/6,494.60 = 3,004.42/x
  3. Step 3: Cross multiply
    4,705.86x = 6,494.60 × 3,004.42
  4. Step 4: Simplify right side
    4,705.86x = 19,512,497.41
  5. Step 5: Solve for x
    x = 19,512,497.41/4,705.86
  6. Step 6: Final answer
    x = 4,146.43

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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.