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Finding the Fourth Proportional to 4,536.78, 6,796.06 and 2,278.50

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Solution

The fourth proportional to 4,536.78, 6,796.06 and 2,278.50 is: 3,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.78 : 6,796.06 = 2,278.50 : x
  2. Step 2: Convert to fraction form
    4,536.78/6,796.06 = 2,278.50/x
  3. Step 3: Cross multiply
    4,536.78x = 6,796.06 × 2,278.50
  4. Step 4: Simplify right side
    4,536.78x = 15,484,822.71
  5. Step 5: Solve for x
    x = 15,484,822.71/4,536.78
  6. Step 6: Final answer
    x = 3,413.17

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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.