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Finding the Fourth Proportional to 5,906, 8,150.52 and 3,253.64

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Solution

The fourth proportional to 5,906, 8,150.52 and 3,253.64 is: 4,490.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,150.52 = 3,253.64 : x
  2. Step 2: Convert to fraction form
    5,906/8,150.52 = 3,253.64/x
  3. Step 3: Cross multiply
    5,906x = 8,150.52 × 3,253.64
  4. Step 4: Simplify right side
    5,906x = 26,518,857.89
  5. Step 5: Solve for x
    x = 26,518,857.89/5,906
  6. Step 6: Final answer
    x = 4,490.16

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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.