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Finding the Fourth Proportional to 4,691.42, 7,072.27 and 4,374.32

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Solution

The fourth proportional to 4,691.42, 7,072.27 and 4,374.32 is: 6,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.42 : 7,072.27 = 4,374.32 : x
  2. Step 2: Convert to fraction form
    4,691.42/7,072.27 = 4,374.32/x
  3. Step 3: Cross multiply
    4,691.42x = 7,072.27 × 4,374.32
  4. Step 4: Simplify right side
    4,691.42x = 30,936,336.75
  5. Step 5: Solve for x
    x = 30,936,336.75/4,691.42
  6. Step 6: Final answer
    x = 6,594.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.