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Finding the Fourth Proportional to 4,159.85, 5,740.50 and 2,271.42

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Solution

The fourth proportional to 4,159.85, 5,740.50 and 2,271.42 is: 3,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.85 : 5,740.50 = 2,271.42 : x
  2. Step 2: Convert to fraction form
    4,159.85/5,740.50 = 2,271.42/x
  3. Step 3: Cross multiply
    4,159.85x = 5,740.50 × 2,271.42
  4. Step 4: Simplify right side
    4,159.85x = 13,039,095.03
  5. Step 5: Solve for x
    x = 13,039,095.03/4,159.85
  6. Step 6: Final answer
    x = 3,134.51

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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.