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Finding the Fourth Proportional to 3,466.86, 4,785.12 and 2,906.45

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Solution

The fourth proportional to 3,466.86, 4,785.12 and 2,906.45 is: 4,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.86 : 4,785.12 = 2,906.45 : x
  2. Step 2: Convert to fraction form
    3,466.86/4,785.12 = 2,906.45/x
  3. Step 3: Cross multiply
    3,466.86x = 4,785.12 × 2,906.45
  4. Step 4: Simplify right side
    3,466.86x = 13,907,688.10
  5. Step 5: Solve for x
    x = 13,907,688.10/3,466.86
  6. Step 6: Final answer
    x = 4,011.61

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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.