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Finding the Fourth Proportional to 4,140.58, 5,714.10 and 2,372.74

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Solution

The fourth proportional to 4,140.58, 5,714.10 and 2,372.74 is: 3,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.58 : 5,714.10 = 2,372.74 : x
  2. Step 2: Convert to fraction form
    4,140.58/5,714.10 = 2,372.74/x
  3. Step 3: Cross multiply
    4,140.58x = 5,714.10 × 2,372.74
  4. Step 4: Simplify right side
    4,140.58x = 13,558,073.63
  5. Step 5: Solve for x
    x = 13,558,073.63/4,140.58
  6. Step 6: Final answer
    x = 3,274.44

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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.