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Finding the Fourth Proportional to 3,517.76, 5,269.59 and 1,670.67

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Solution

The fourth proportional to 3,517.76, 5,269.59 and 1,670.67 is: 2,502.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.76 : 5,269.59 = 1,670.67 : x
  2. Step 2: Convert to fraction form
    3,517.76/5,269.59 = 1,670.67/x
  3. Step 3: Cross multiply
    3,517.76x = 5,269.59 × 1,670.67
  4. Step 4: Simplify right side
    3,517.76x = 8,803,745.93
  5. Step 5: Solve for x
    x = 8,803,745.93/3,517.76
  6. Step 6: Final answer
    x = 2,502.66

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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.