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Finding the Fourth Proportional to 4,665.06, 6,997.61 and 3,199.77

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Solution

The fourth proportional to 4,665.06, 6,997.61 and 3,199.77 is: 4,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.06 : 6,997.61 = 3,199.77 : x
  2. Step 2: Convert to fraction form
    4,665.06/6,997.61 = 3,199.77/x
  3. Step 3: Cross multiply
    4,665.06x = 6,997.61 × 3,199.77
  4. Step 4: Simplify right side
    4,665.06x = 22,390,726.55
  5. Step 5: Solve for x
    x = 22,390,726.55/4,665.06
  6. Step 6: Final answer
    x = 4,799.67

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