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Finding the Fourth Proportional to 6,490.54, 8,956.56 and 3,838.18

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Solution

The fourth proportional to 6,490.54, 8,956.56 and 3,838.18 is: 5,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.54 : 8,956.56 = 3,838.18 : x
  2. Step 2: Convert to fraction form
    6,490.54/8,956.56 = 3,838.18/x
  3. Step 3: Cross multiply
    6,490.54x = 8,956.56 × 3,838.18
  4. Step 4: Simplify right side
    6,490.54x = 34,376,889.46
  5. Step 5: Solve for x
    x = 34,376,889.46/6,490.54
  6. Step 6: Final answer
    x = 5,296.46

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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.