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Finding the Fourth Proportional to 3,307.86, 4,961.62 and 1,116.67

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Solution

The fourth proportional to 3,307.86, 4,961.62 and 1,116.67 is: 1,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.86 : 4,961.62 = 1,116.67 : x
  2. Step 2: Convert to fraction form
    3,307.86/4,961.62 = 1,116.67/x
  3. Step 3: Cross multiply
    3,307.86x = 4,961.62 × 1,116.67
  4. Step 4: Simplify right side
    3,307.86x = 5,540,492.21
  5. Step 5: Solve for x
    x = 5,540,492.21/3,307.86
  6. Step 6: Final answer
    x = 1,674.95

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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.