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Finding the Fourth Proportional to 4,951.53, 7,427.30 and 1,663.74

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Solution

The fourth proportional to 4,951.53, 7,427.30 and 1,663.74 is: 2,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.53 : 7,427.30 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    4,951.53/7,427.30 = 1,663.74/x
  3. Step 3: Cross multiply
    4,951.53x = 7,427.30 × 1,663.74
  4. Step 4: Simplify right side
    4,951.53x = 12,357,087.78
  5. Step 5: Solve for x
    x = 12,357,087.78/4,951.53
  6. Step 6: Final answer
    x = 2,495.61

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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.