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Finding the Fourth Proportional to 6,349.86, 8,763.33 and 3,697.50

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Solution

The fourth proportional to 6,349.86, 8,763.33 and 3,697.50 is: 5,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.86 : 8,763.33 = 3,697.50 : x
  2. Step 2: Convert to fraction form
    6,349.86/8,763.33 = 3,697.50/x
  3. Step 3: Cross multiply
    6,349.86x = 8,763.33 × 3,697.50
  4. Step 4: Simplify right side
    6,349.86x = 32,402,412.68
  5. Step 5: Solve for x
    x = 32,402,412.68/6,349.86
  6. Step 6: Final answer
    x = 5,102.85

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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.