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Finding the Fourth Proportional to 4,132.78, 5,714.45 and 4,066.01

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Solution

The fourth proportional to 4,132.78, 5,714.45 and 4,066.01 is: 5,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.78 : 5,714.45 = 4,066.01 : x
  2. Step 2: Convert to fraction form
    4,132.78/5,714.45 = 4,066.01/x
  3. Step 3: Cross multiply
    4,132.78x = 5,714.45 × 4,066.01
  4. Step 4: Simplify right side
    4,132.78x = 23,234,992.44
  5. Step 5: Solve for x
    x = 23,234,992.44/4,132.78
  6. Step 6: Final answer
    x = 5,622.13

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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.