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Finding the Fourth Proportional to 5,610.86, 8,416.65 and 3,297.50

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Solution

The fourth proportional to 5,610.86, 8,416.65 and 3,297.50 is: 4,946.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.86 : 8,416.65 = 3,297.50 : x
  2. Step 2: Convert to fraction form
    5,610.86/8,416.65 = 3,297.50/x
  3. Step 3: Cross multiply
    5,610.86x = 8,416.65 × 3,297.50
  4. Step 4: Simplify right side
    5,610.86x = 27,753,903.38
  5. Step 5: Solve for x
    x = 27,753,903.38/5,610.86
  6. Step 6: Final answer
    x = 4,946.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.