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Finding the Fourth Proportional to 5,408.76, 7,466.04 and 3,420.66

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Solution

The fourth proportional to 5,408.76, 7,466.04 and 3,420.66 is: 4,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.76 : 7,466.04 = 3,420.66 : x
  2. Step 2: Convert to fraction form
    5,408.76/7,466.04 = 3,420.66/x
  3. Step 3: Cross multiply
    5,408.76x = 7,466.04 × 3,420.66
  4. Step 4: Simplify right side
    5,408.76x = 25,538,784.39
  5. Step 5: Solve for x
    x = 25,538,784.39/5,408.76
  6. Step 6: Final answer
    x = 4,721.74

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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.