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Finding the Fourth Proportional to 4,905.55, 7,327.13 and 4,214.22

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Solution

The fourth proportional to 4,905.55, 7,327.13 and 4,214.22 is: 6,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.55 : 7,327.13 = 4,214.22 : x
  2. Step 2: Convert to fraction form
    4,905.55/7,327.13 = 4,214.22/x
  3. Step 3: Cross multiply
    4,905.55x = 7,327.13 × 4,214.22
  4. Step 4: Simplify right side
    4,905.55x = 30,878,137.79
  5. Step 5: Solve for x
    x = 30,878,137.79/4,905.55
  6. Step 6: Final answer
    x = 6,294.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.