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Finding the Fourth Proportional to 5,297.71, 7,941.28 and 2,657.15

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Solution

The fourth proportional to 5,297.71, 7,941.28 and 2,657.15 is: 3,983.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.71 : 7,941.28 = 2,657.15 : x
  2. Step 2: Convert to fraction form
    5,297.71/7,941.28 = 2,657.15/x
  3. Step 3: Cross multiply
    5,297.71x = 7,941.28 × 2,657.15
  4. Step 4: Simplify right side
    5,297.71x = 21,101,172.15
  5. Step 5: Solve for x
    x = 21,101,172.15/5,297.71
  6. Step 6: Final answer
    x = 3,983.07

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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.