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Finding the Fourth Proportional to 3,616.13, 5,424.93 and 1,424.94

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Solution

The fourth proportional to 3,616.13, 5,424.93 and 1,424.94 is: 2,137.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.13 : 5,424.93 = 1,424.94 : x
  2. Step 2: Convert to fraction form
    3,616.13/5,424.93 = 1,424.94/x
  3. Step 3: Cross multiply
    3,616.13x = 5,424.93 × 1,424.94
  4. Step 4: Simplify right side
    3,616.13x = 7,730,199.75
  5. Step 5: Solve for x
    x = 7,730,199.75/3,616.13
  6. Step 6: Final answer
    x = 2,137.70

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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.