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Finding the Fourth Proportional to 5,221.48, 7,832.54 and 2,101.48

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Solution

The fourth proportional to 5,221.48, 7,832.54 and 2,101.48 is: 3,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.48 : 7,832.54 = 2,101.48 : x
  2. Step 2: Convert to fraction form
    5,221.48/7,832.54 = 2,101.48/x
  3. Step 3: Cross multiply
    5,221.48x = 7,832.54 × 2,101.48
  4. Step 4: Simplify right side
    5,221.48x = 16,459,887.00
  5. Step 5: Solve for x
    x = 16,459,887.00/5,221.48
  6. Step 6: Final answer
    x = 3,152.34

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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.