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Finding the Fourth Proportional to 3,042.90, 4,564.35 and 2,824.20

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Solution

The fourth proportional to 3,042.90, 4,564.35 and 2,824.20 is: 4,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.90 : 4,564.35 = 2,824.20 : x
  2. Step 2: Convert to fraction form
    3,042.90/4,564.35 = 2,824.20/x
  3. Step 3: Cross multiply
    3,042.90x = 4,564.35 × 2,824.20
  4. Step 4: Simplify right side
    3,042.90x = 12,890,637.27
  5. Step 5: Solve for x
    x = 12,890,637.27/3,042.90
  6. Step 6: Final answer
    x = 4,236.30

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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.