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Finding the Fourth Proportional to 5,224.84, 7,838.42 and 1,762

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Solution

The fourth proportional to 5,224.84, 7,838.42 and 1,762 is: 2,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.84 : 7,838.42 = 1,762 : x
  2. Step 2: Convert to fraction form
    5,224.84/7,838.42 = 1,762/x
  3. Step 3: Cross multiply
    5,224.84x = 7,838.42 × 1,762
  4. Step 4: Simplify right side
    5,224.84x = 13,811,296.04
  5. Step 5: Solve for x
    x = 13,811,296.04/5,224.84
  6. Step 6: Final answer
    x = 2,643.39

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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.