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Finding the Fourth Proportional to 5,204.07, 7,182.50 and 4,093.47

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Solution

The fourth proportional to 5,204.07, 7,182.50 and 4,093.47 is: 5,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.07 : 7,182.50 = 4,093.47 : x
  2. Step 2: Convert to fraction form
    5,204.07/7,182.50 = 4,093.47/x
  3. Step 3: Cross multiply
    5,204.07x = 7,182.50 × 4,093.47
  4. Step 4: Simplify right side
    5,204.07x = 29,401,327.81
  5. Step 5: Solve for x
    x = 29,401,327.81/5,204.07
  6. Step 6: Final answer
    x = 5,649.68

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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.