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Finding the Fourth Proportional to 4,066.54, 5,612.10 and 2,297.50

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Solution

The fourth proportional to 4,066.54, 5,612.10 and 2,297.50 is: 3,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.54 : 5,612.10 = 2,297.50 : x
  2. Step 2: Convert to fraction form
    4,066.54/5,612.10 = 2,297.50/x
  3. Step 3: Cross multiply
    4,066.54x = 5,612.10 × 2,297.50
  4. Step 4: Simplify right side
    4,066.54x = 12,893,799.75
  5. Step 5: Solve for x
    x = 12,893,799.75/4,066.54
  6. Step 6: Final answer
    x = 3,170.71

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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.