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Finding the Fourth Proportional to 5,000.10, 6,897.69 and 3,233.22

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Solution

The fourth proportional to 5,000.10, 6,897.69 and 3,233.22 is: 4,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.10 : 6,897.69 = 3,233.22 : x
  2. Step 2: Convert to fraction form
    5,000.10/6,897.69 = 3,233.22/x
  3. Step 3: Cross multiply
    5,000.10x = 6,897.69 × 3,233.22
  4. Step 4: Simplify right side
    5,000.10x = 22,301,749.26
  5. Step 5: Solve for x
    x = 22,301,749.26/5,000.10
  6. Step 6: Final answer
    x = 4,460.26

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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.