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Finding the Fourth Proportional to 4,605.78, 6,352.86 and 2,838.42

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Solution

The fourth proportional to 4,605.78, 6,352.86 and 2,838.42 is: 3,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.78 : 6,352.86 = 2,838.42 : x
  2. Step 2: Convert to fraction form
    4,605.78/6,352.86 = 2,838.42/x
  3. Step 3: Cross multiply
    4,605.78x = 6,352.86 × 2,838.42
  4. Step 4: Simplify right side
    4,605.78x = 18,032,084.88
  5. Step 5: Solve for x
    x = 18,032,084.88/4,605.78
  6. Step 6: Final answer
    x = 3,915.10

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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.