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Finding the Fourth Proportional to 6,536.50, 9,020.46 and 3,552.40

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Solution

The fourth proportional to 6,536.50, 9,020.46 and 3,552.40 is: 4,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.50 : 9,020.46 = 3,552.40 : x
  2. Step 2: Convert to fraction form
    6,536.50/9,020.46 = 3,552.40/x
  3. Step 3: Cross multiply
    6,536.50x = 9,020.46 × 3,552.40
  4. Step 4: Simplify right side
    6,536.50x = 32,044,282.10
  5. Step 5: Solve for x
    x = 32,044,282.10/6,536.50
  6. Step 6: Final answer
    x = 4,902.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.