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Finding the Fourth Proportional to 3,642.66, 5,434.29 and 3,542.22

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Solution

The fourth proportional to 3,642.66, 5,434.29 and 3,542.22 is: 5,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.66 : 5,434.29 = 3,542.22 : x
  2. Step 2: Convert to fraction form
    3,642.66/5,434.29 = 3,542.22/x
  3. Step 3: Cross multiply
    3,642.66x = 5,434.29 × 3,542.22
  4. Step 4: Simplify right side
    3,642.66x = 19,249,450.72
  5. Step 5: Solve for x
    x = 19,249,450.72/3,642.66
  6. Step 6: Final answer
    x = 5,284.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.