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Finding the Fourth Proportional to 4,834.78, 6,669.42 and 3,653.80

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Solution

The fourth proportional to 4,834.78, 6,669.42 and 3,653.80 is: 5,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.78 : 6,669.42 = 3,653.80 : x
  2. Step 2: Convert to fraction form
    4,834.78/6,669.42 = 3,653.80/x
  3. Step 3: Cross multiply
    4,834.78x = 6,669.42 × 3,653.80
  4. Step 4: Simplify right side
    4,834.78x = 24,368,726.80
  5. Step 5: Solve for x
    x = 24,368,726.80/4,834.78
  6. Step 6: Final answer
    x = 5,040.30

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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.