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Finding the Fourth Proportional to 4,899.60, 7,349.22 and 1,201.86

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Solution

The fourth proportional to 4,899.60, 7,349.22 and 1,201.86 is: 1,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.60 : 7,349.22 = 1,201.86 : x
  2. Step 2: Convert to fraction form
    4,899.60/7,349.22 = 1,201.86/x
  3. Step 3: Cross multiply
    4,899.60x = 7,349.22 × 1,201.86
  4. Step 4: Simplify right side
    4,899.60x = 8,832,733.55
  5. Step 5: Solve for x
    x = 8,832,733.55/4,899.60
  6. Step 6: Final answer
    x = 1,802.75

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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.