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Finding the Fourth Proportional to 4,242.54, 6,365.61 and 2,052.90

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Solution

The fourth proportional to 4,242.54, 6,365.61 and 2,052.90 is: 3,080.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.54 : 6,365.61 = 2,052.90 : x
  2. Step 2: Convert to fraction form
    4,242.54/6,365.61 = 2,052.90/x
  3. Step 3: Cross multiply
    4,242.54x = 6,365.61 × 2,052.90
  4. Step 4: Simplify right side
    4,242.54x = 13,067,960.77
  5. Step 5: Solve for x
    x = 13,067,960.77/4,242.54
  6. Step 6: Final answer
    x = 3,080.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.