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Finding the Fourth Proportional to 3,539.61, 5,336.10 and 3,301.83

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Solution

The fourth proportional to 3,539.61, 5,336.10 and 3,301.83 is: 4,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.61 : 5,336.10 = 3,301.83 : x
  2. Step 2: Convert to fraction form
    3,539.61/5,336.10 = 3,301.83/x
  3. Step 3: Cross multiply
    3,539.61x = 5,336.10 × 3,301.83
  4. Step 4: Simplify right side
    3,539.61x = 17,618,895.06
  5. Step 5: Solve for x
    x = 17,618,895.06/3,539.61
  6. Step 6: Final answer
    x = 4,977.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.