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Finding the Fourth Proportional to 5,616.49, 7,754.36 and 5,026

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Solution

The fourth proportional to 5,616.49, 7,754.36 and 5,026 is: 6,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.49 : 7,754.36 = 5,026 : x
  2. Step 2: Convert to fraction form
    5,616.49/7,754.36 = 5,026/x
  3. Step 3: Cross multiply
    5,616.49x = 7,754.36 × 5,026
  4. Step 4: Simplify right side
    5,616.49x = 38,973,413.36
  5. Step 5: Solve for x
    x = 38,973,413.36/5,616.49
  6. Step 6: Final answer
    x = 6,939.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.