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Finding the Fourth Proportional to 4,159.39, 5,740.03 and 2,271.05

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Solution

The fourth proportional to 4,159.39, 5,740.03 and 2,271.05 is: 3,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.39 : 5,740.03 = 2,271.05 : x
  2. Step 2: Convert to fraction form
    4,159.39/5,740.03 = 2,271.05/x
  3. Step 3: Cross multiply
    4,159.39x = 5,740.03 × 2,271.05
  4. Step 4: Simplify right side
    4,159.39x = 13,035,883.78
  5. Step 5: Solve for x
    x = 13,035,883.78/4,159.39
  6. Step 6: Final answer
    x = 3,134.09

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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.