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Finding the Fourth Proportional to 3,929.66, 5,863.86 and 3,580.35

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Solution

The fourth proportional to 3,929.66, 5,863.86 and 3,580.35 is: 5,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,929.66 : 5,863.86 = 3,580.35 : x
  2. Step 2: Convert to fraction form
    3,929.66/5,863.86 = 3,580.35/x
  3. Step 3: Cross multiply
    3,929.66x = 5,863.86 × 3,580.35
  4. Step 4: Simplify right side
    3,929.66x = 20,994,680.10
  5. Step 5: Solve for x
    x = 20,994,680.10/3,929.66
  6. Step 6: Final answer
    x = 5,342.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.