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Finding the Fourth Proportional to 6,356.78, 9,528.83 and 3,019.17

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Solution

The fourth proportional to 6,356.78, 9,528.83 and 3,019.17 is: 4,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.78 : 9,528.83 = 3,019.17 : x
  2. Step 2: Convert to fraction form
    6,356.78/9,528.83 = 3,019.17/x
  3. Step 3: Cross multiply
    6,356.78x = 9,528.83 × 3,019.17
  4. Step 4: Simplify right side
    6,356.78x = 28,769,157.67
  5. Step 5: Solve for x
    x = 28,769,157.67/6,356.78
  6. Step 6: Final answer
    x = 4,525.75

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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.