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Finding the Fourth Proportional to 5,207.58, 7,184.14 and 3,318.14

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Solution

The fourth proportional to 5,207.58, 7,184.14 and 3,318.14 is: 4,577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.58 : 7,184.14 = 3,318.14 : x
  2. Step 2: Convert to fraction form
    5,207.58/7,184.14 = 3,318.14/x
  3. Step 3: Cross multiply
    5,207.58x = 7,184.14 × 3,318.14
  4. Step 4: Simplify right side
    5,207.58x = 23,837,938.08
  5. Step 5: Solve for x
    x = 23,837,938.08/5,207.58
  6. Step 6: Final answer
    x = 4,577.55

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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.