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Finding the Fourth Proportional to 3,566.64, 4,906.32 and 2,902.02

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Solution

The fourth proportional to 3,566.64, 4,906.32 and 2,902.02 is: 3,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,566.64 : 4,906.32 = 2,902.02 : x
  2. Step 2: Convert to fraction form
    3,566.64/4,906.32 = 2,902.02/x
  3. Step 3: Cross multiply
    3,566.64x = 4,906.32 × 2,902.02
  4. Step 4: Simplify right side
    3,566.64x = 14,238,238.77
  5. Step 5: Solve for x
    x = 14,238,238.77/3,566.64
  6. Step 6: Final answer
    x = 3,992.06

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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.