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Finding the Fourth Proportional to 8,042.40, 12,058.20 and 3,657.60

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Solution

The fourth proportional to 8,042.40, 12,058.20 and 3,657.60 is: 5,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.40 : 12,058.20 = 3,657.60 : x
  2. Step 2: Convert to fraction form
    8,042.40/12,058.20 = 3,657.60/x
  3. Step 3: Cross multiply
    8,042.40x = 12,058.20 × 3,657.60
  4. Step 4: Simplify right side
    8,042.40x = 44,104,072.32
  5. Step 5: Solve for x
    x = 44,104,072.32/8,042.40
  6. Step 6: Final answer
    x = 5,483.94

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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.