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Finding the Fourth Proportional to 3,657.72, 5,486.58 and 1,318.04

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Solution

The fourth proportional to 3,657.72, 5,486.58 and 1,318.04 is: 1,977.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.72 : 5,486.58 = 1,318.04 : x
  2. Step 2: Convert to fraction form
    3,657.72/5,486.58 = 1,318.04/x
  3. Step 3: Cross multiply
    3,657.72x = 5,486.58 × 1,318.04
  4. Step 4: Simplify right side
    3,657.72x = 7,231,504.47
  5. Step 5: Solve for x
    x = 7,231,504.47/3,657.72
  6. Step 6: Final answer
    x = 1,977.05

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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.