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Finding the Fourth Proportional to 3,642.11, 5,463.14 and 1,045.05

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Solution

The fourth proportional to 3,642.11, 5,463.14 and 1,045.05 is: 1,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.11 : 5,463.14 = 1,045.05 : x
  2. Step 2: Convert to fraction form
    3,642.11/5,463.14 = 1,045.05/x
  3. Step 3: Cross multiply
    3,642.11x = 5,463.14 × 1,045.05
  4. Step 4: Simplify right side
    3,642.11x = 5,709,249.23
  5. Step 5: Solve for x
    x = 5,709,249.23/3,642.11
  6. Step 6: Final answer
    x = 1,567.57

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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.