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Finding the Fourth Proportional to 3,593.52, 5,389.32 and 1,618

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Solution

The fourth proportional to 3,593.52, 5,389.32 and 1,618 is: 2,426.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.52 : 5,389.32 = 1,618 : x
  2. Step 2: Convert to fraction form
    3,593.52/5,389.32 = 1,618/x
  3. Step 3: Cross multiply
    3,593.52x = 5,389.32 × 1,618
  4. Step 4: Simplify right side
    3,593.52x = 8,719,919.76
  5. Step 5: Solve for x
    x = 8,719,919.76/3,593.52
  6. Step 6: Final answer
    x = 2,426.57

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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.