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Finding the Fourth Proportional to 4,468.95, 6,697.76 and 2,003.67

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Solution

The fourth proportional to 4,468.95, 6,697.76 and 2,003.67 is: 3,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.95 : 6,697.76 = 2,003.67 : x
  2. Step 2: Convert to fraction form
    4,468.95/6,697.76 = 2,003.67/x
  3. Step 3: Cross multiply
    4,468.95x = 6,697.76 × 2,003.67
  4. Step 4: Simplify right side
    4,468.95x = 13,420,090.76
  5. Step 5: Solve for x
    x = 13,420,090.76/4,468.95
  6. Step 6: Final answer
    x = 3,002.96

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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.