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Finding the Fourth Proportional to 6,490.83, 8,956.80 and 3,657.30

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Solution

The fourth proportional to 6,490.83, 8,956.80 and 3,657.30 is: 5,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.83 : 8,956.80 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    6,490.83/8,956.80 = 3,657.30/x
  3. Step 3: Cross multiply
    6,490.83x = 8,956.80 × 3,657.30
  4. Step 4: Simplify right side
    6,490.83x = 32,757,704.64
  5. Step 5: Solve for x
    x = 32,757,704.64/6,490.83
  6. Step 6: Final answer
    x = 5,046.77

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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.