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Finding the Fourth Proportional to 3,536.47, 5,297.41 and 2,071.18

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Solution

The fourth proportional to 3,536.47, 5,297.41 and 2,071.18 is: 3,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.47 : 5,297.41 = 2,071.18 : x
  2. Step 2: Convert to fraction form
    3,536.47/5,297.41 = 2,071.18/x
  3. Step 3: Cross multiply
    3,536.47x = 5,297.41 × 2,071.18
  4. Step 4: Simplify right side
    3,536.47x = 10,971,878.99
  5. Step 5: Solve for x
    x = 10,971,878.99/3,536.47
  6. Step 6: Final answer
    x = 3,102.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.