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Finding the Fourth Proportional to 4,042.62, 6,056.04 and 2,282.30

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Solution

The fourth proportional to 4,042.62, 6,056.04 and 2,282.30 is: 3,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,042.62 : 6,056.04 = 2,282.30 : x
  2. Step 2: Convert to fraction form
    4,042.62/6,056.04 = 2,282.30/x
  3. Step 3: Cross multiply
    4,042.62x = 6,056.04 × 2,282.30
  4. Step 4: Simplify right side
    4,042.62x = 13,821,700.09
  5. Step 5: Solve for x
    x = 13,821,700.09/4,042.62
  6. Step 6: Final answer
    x = 3,419.00

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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.