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Finding the Fourth Proportional to 5,471.82, 7,551.36 and 3,114.45

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Solution

The fourth proportional to 5,471.82, 7,551.36 and 3,114.45 is: 4,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.82 : 7,551.36 = 3,114.45 : x
  2. Step 2: Convert to fraction form
    5,471.82/7,551.36 = 3,114.45/x
  3. Step 3: Cross multiply
    5,471.82x = 7,551.36 × 3,114.45
  4. Step 4: Simplify right side
    5,471.82x = 23,518,333.15
  5. Step 5: Solve for x
    x = 23,518,333.15/5,471.82
  6. Step 6: Final answer
    x = 4,298.08

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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.