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Finding the Fourth Proportional to 6,490.58, 9,736.02 and 2,541.69

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Solution

The fourth proportional to 6,490.58, 9,736.02 and 2,541.69 is: 3,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.58 : 9,736.02 = 2,541.69 : x
  2. Step 2: Convert to fraction form
    6,490.58/9,736.02 = 2,541.69/x
  3. Step 3: Cross multiply
    6,490.58x = 9,736.02 × 2,541.69
  4. Step 4: Simplify right side
    6,490.58x = 24,745,944.67
  5. Step 5: Solve for x
    x = 24,745,944.67/6,490.58
  6. Step 6: Final answer
    x = 3,812.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.