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Finding the Fourth Proportional to 6,364.36, 8,782.44 and 3,569.80

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Solution

The fourth proportional to 6,364.36, 8,782.44 and 3,569.80 is: 4,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.36 : 8,782.44 = 3,569.80 : x
  2. Step 2: Convert to fraction form
    6,364.36/8,782.44 = 3,569.80/x
  3. Step 3: Cross multiply
    6,364.36x = 8,782.44 × 3,569.80
  4. Step 4: Simplify right side
    6,364.36x = 31,351,554.31
  5. Step 5: Solve for x
    x = 31,351,554.31/6,364.36
  6. Step 6: Final answer
    x = 4,926.11

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