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Finding the Fourth Proportional to 4,140.01, 5,714.03 and 2,372.80

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Solution

The fourth proportional to 4,140.01, 5,714.03 and 2,372.80 is: 3,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.01 : 5,714.03 = 2,372.80 : x
  2. Step 2: Convert to fraction form
    4,140.01/5,714.03 = 2,372.80/x
  3. Step 3: Cross multiply
    4,140.01x = 5,714.03 × 2,372.80
  4. Step 4: Simplify right side
    4,140.01x = 13,558,238.52
  5. Step 5: Solve for x
    x = 13,558,238.52/4,140.01
  6. Step 6: Final answer
    x = 3,274.93

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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.