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Finding the Fourth Proportional to 3,547.26, 5,319.12 and 2,066.97

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Solution

The fourth proportional to 3,547.26, 5,319.12 and 2,066.97 is: 3,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.26 : 5,319.12 = 2,066.97 : x
  2. Step 2: Convert to fraction form
    3,547.26/5,319.12 = 2,066.97/x
  3. Step 3: Cross multiply
    3,547.26x = 5,319.12 × 2,066.97
  4. Step 4: Simplify right side
    3,547.26x = 10,994,461.47
  5. Step 5: Solve for x
    x = 10,994,461.47/3,547.26
  6. Step 6: Final answer
    x = 3,099.42

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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.