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Finding the Fourth Proportional to 5,801.76, 8,003.61 and 3,442.23

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Solution

The fourth proportional to 5,801.76, 8,003.61 and 3,442.23 is: 4,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.76 : 8,003.61 = 3,442.23 : x
  2. Step 2: Convert to fraction form
    5,801.76/8,003.61 = 3,442.23/x
  3. Step 3: Cross multiply
    5,801.76x = 8,003.61 × 3,442.23
  4. Step 4: Simplify right side
    5,801.76x = 27,550,266.45
  5. Step 5: Solve for x
    x = 27,550,266.45/5,801.76
  6. Step 6: Final answer
    x = 4,748.60

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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.