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Finding the Fourth Proportional to 6,199.20, 8,552.64 and 4,859.76

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Solution

The fourth proportional to 6,199.20, 8,552.64 and 4,859.76 is: 6,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.20 : 8,552.64 = 4,859.76 : x
  2. Step 2: Convert to fraction form
    6,199.20/8,552.64 = 4,859.76/x
  3. Step 3: Cross multiply
    6,199.20x = 8,552.64 × 4,859.76
  4. Step 4: Simplify right side
    6,199.20x = 41,563,777.77
  5. Step 5: Solve for x
    x = 41,563,777.77/6,199.20
  6. Step 6: Final answer
    x = 6,704.70

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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.