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Finding the Fourth Proportional to 5,218.02, 7,827.03 and 3,483

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Solution

The fourth proportional to 5,218.02, 7,827.03 and 3,483 is: 5,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.02 : 7,827.03 = 3,483 : x
  2. Step 2: Convert to fraction form
    5,218.02/7,827.03 = 3,483/x
  3. Step 3: Cross multiply
    5,218.02x = 7,827.03 × 3,483
  4. Step 4: Simplify right side
    5,218.02x = 27,261,545.49
  5. Step 5: Solve for x
    x = 27,261,545.49/5,218.02
  6. Step 6: Final answer
    x = 5,224.50

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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.