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Finding the Fourth Proportional to 3,714.05, 5,130.72 and 2,967.02

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Solution

The fourth proportional to 3,714.05, 5,130.72 and 2,967.02 is: 4,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.05 : 5,130.72 = 2,967.02 : x
  2. Step 2: Convert to fraction form
    3,714.05/5,130.72 = 2,967.02/x
  3. Step 3: Cross multiply
    3,714.05x = 5,130.72 × 2,967.02
  4. Step 4: Simplify right side
    3,714.05x = 15,222,961.68
  5. Step 5: Solve for x
    x = 15,222,961.68/3,714.05
  6. Step 6: Final answer
    x = 4,098.76

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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.