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Finding the Fourth Proportional to 3,643.40, 5,455.38 and 3,206

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Solution

The fourth proportional to 3,643.40, 5,455.38 and 3,206 is: 4,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.40 : 5,455.38 = 3,206 : x
  2. Step 2: Convert to fraction form
    3,643.40/5,455.38 = 3,206/x
  3. Step 3: Cross multiply
    3,643.40x = 5,455.38 × 3,206
  4. Step 4: Simplify right side
    3,643.40x = 17,489,948.28
  5. Step 5: Solve for x
    x = 17,489,948.28/3,643.40
  6. Step 6: Final answer
    x = 4,800.45

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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.