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Finding the Fourth Proportional to 5,476.40, 7,561.85 and 5,201.20

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Solution

The fourth proportional to 5,476.40, 7,561.85 and 5,201.20 is: 7,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476.40 : 7,561.85 = 5,201.20 : x
  2. Step 2: Convert to fraction form
    5,476.40/7,561.85 = 5,201.20/x
  3. Step 3: Cross multiply
    5,476.40x = 7,561.85 × 5,201.20
  4. Step 4: Simplify right side
    5,476.40x = 39,330,688.32
  5. Step 5: Solve for x
    x = 39,330,688.32/5,476.40
  6. Step 6: Final answer
    x = 7,181.86

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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.