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Finding the Fourth Proportional to 3,539.74, 5,308.89 and 3,364.10

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Solution

The fourth proportional to 3,539.74, 5,308.89 and 3,364.10 is: 5,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.74 : 5,308.89 = 3,364.10 : x
  2. Step 2: Convert to fraction form
    3,539.74/5,308.89 = 3,364.10/x
  3. Step 3: Cross multiply
    3,539.74x = 5,308.89 × 3,364.10
  4. Step 4: Simplify right side
    3,539.74x = 17,859,636.85
  5. Step 5: Solve for x
    x = 17,859,636.85/3,539.74
  6. Step 6: Final answer
    x = 5,045.47

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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.