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Finding the Fourth Proportional to 4,140.63, 5,713.02 and 2,462.40

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Solution

The fourth proportional to 4,140.63, 5,713.02 and 2,462.40 is: 3,397.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.63 : 5,713.02 = 2,462.40 : x
  2. Step 2: Convert to fraction form
    4,140.63/5,713.02 = 2,462.40/x
  3. Step 3: Cross multiply
    4,140.63x = 5,713.02 × 2,462.40
  4. Step 4: Simplify right side
    4,140.63x = 14,067,740.45
  5. Step 5: Solve for x
    x = 14,067,740.45/4,140.63
  6. Step 6: Final answer
    x = 3,397.49

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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.