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Finding the Fourth Proportional to 6,490.53, 8,956.83 and 3,657.91

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Solution

The fourth proportional to 6,490.53, 8,956.83 and 3,657.91 is: 5,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.53 : 8,956.83 = 3,657.91 : x
  2. Step 2: Convert to fraction form
    6,490.53/8,956.83 = 3,657.91/x
  3. Step 3: Cross multiply
    6,490.53x = 8,956.83 × 3,657.91
  4. Step 4: Simplify right side
    6,490.53x = 32,763,265.57
  5. Step 5: Solve for x
    x = 32,763,265.57/6,490.53
  6. Step 6: Final answer
    x = 5,047.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.