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Finding the Fourth Proportional to 5,290.14, 7,933.59 and 3,657.18

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Solution

The fourth proportional to 5,290.14, 7,933.59 and 3,657.18 is: 5,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.14 : 7,933.59 = 3,657.18 : x
  2. Step 2: Convert to fraction form
    5,290.14/7,933.59 = 3,657.18/x
  3. Step 3: Cross multiply
    5,290.14x = 7,933.59 × 3,657.18
  4. Step 4: Simplify right side
    5,290.14x = 29,014,566.68
  5. Step 5: Solve for x
    x = 29,014,566.68/5,290.14
  6. Step 6: Final answer
    x = 5,484.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.