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Finding the Fourth Proportional to 6,364.22, 8,782.56 and 3,569.72

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Solution

The fourth proportional to 6,364.22, 8,782.56 and 3,569.72 is: 4,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.22 : 8,782.56 = 3,569.72 : x
  2. Step 2: Convert to fraction form
    6,364.22/8,782.56 = 3,569.72/x
  3. Step 3: Cross multiply
    6,364.22x = 8,782.56 × 3,569.72
  4. Step 4: Simplify right side
    6,364.22x = 31,351,236.17
  5. Step 5: Solve for x
    x = 31,351,236.17/6,364.22
  6. Step 6: Final answer
    x = 4,926.17

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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.