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Finding the Fourth Proportional to 5,264.44, 7,894.01 and 1,753.21

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Solution

The fourth proportional to 5,264.44, 7,894.01 and 1,753.21 is: 2,628.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.44 : 7,894.01 = 1,753.21 : x
  2. Step 2: Convert to fraction form
    5,264.44/7,894.01 = 1,753.21/x
  3. Step 3: Cross multiply
    5,264.44x = 7,894.01 × 1,753.21
  4. Step 4: Simplify right side
    5,264.44x = 13,839,841.92
  5. Step 5: Solve for x
    x = 13,839,841.92/5,264.44
  6. Step 6: Final answer
    x = 2,628.93

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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.