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Finding the Fourth Proportional to 4,140.57, 5,714.00 and 2,277.57

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Solution

The fourth proportional to 4,140.57, 5,714.00 and 2,277.57 is: 3,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.57 : 5,714.00 = 2,277.57 : x
  2. Step 2: Convert to fraction form
    4,140.57/5,714.00 = 2,277.57/x
  3. Step 3: Cross multiply
    4,140.57x = 5,714.00 × 2,277.57
  4. Step 4: Simplify right side
    4,140.57x = 13,014,023.59
  5. Step 5: Solve for x
    x = 13,014,023.59/4,140.57
  6. Step 6: Final answer
    x = 3,143.05

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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.