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Finding the Fourth Proportional to 4,878.69, 6,730.07 and 3,107.22

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Solution

The fourth proportional to 4,878.69, 6,730.07 and 3,107.22 is: 4,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.69 : 6,730.07 = 3,107.22 : x
  2. Step 2: Convert to fraction form
    4,878.69/6,730.07 = 3,107.22/x
  3. Step 3: Cross multiply
    4,878.69x = 6,730.07 × 3,107.22
  4. Step 4: Simplify right side
    4,878.69x = 20,911,792.57
  5. Step 5: Solve for x
    x = 20,911,792.57/4,878.69
  6. Step 6: Final answer
    x = 4,286.35

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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.