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Finding the Fourth Proportional to 5,217.20, 7,201.02 and 3,541.40

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Solution

The fourth proportional to 5,217.20, 7,201.02 and 3,541.40 is: 4,888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.20 : 7,201.02 = 3,541.40 : x
  2. Step 2: Convert to fraction form
    5,217.20/7,201.02 = 3,541.40/x
  3. Step 3: Cross multiply
    5,217.20x = 7,201.02 × 3,541.40
  4. Step 4: Simplify right side
    5,217.20x = 25,501,692.23
  5. Step 5: Solve for x
    x = 25,501,692.23/5,217.20
  6. Step 6: Final answer
    x = 4,888.00

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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.