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Finding the Fourth Proportional to 3,536.65, 5,307.27 and 3,266.11

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Solution

The fourth proportional to 3,536.65, 5,307.27 and 3,266.11 is: 4,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.65 : 5,307.27 = 3,266.11 : x
  2. Step 2: Convert to fraction form
    3,536.65/5,307.27 = 3,266.11/x
  3. Step 3: Cross multiply
    3,536.65x = 5,307.27 × 3,266.11
  4. Step 4: Simplify right side
    3,536.65x = 17,334,127.62
  5. Step 5: Solve for x
    x = 17,334,127.62/3,536.65
  6. Step 6: Final answer
    x = 4,901.28

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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.