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Finding the Fourth Proportional to 4,899.42, 7,341.84 and 3,861.95

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Solution

The fourth proportional to 4,899.42, 7,341.84 and 3,861.95 is: 5,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.42 : 7,341.84 = 3,861.95 : x
  2. Step 2: Convert to fraction form
    4,899.42/7,341.84 = 3,861.95/x
  3. Step 3: Cross multiply
    4,899.42x = 7,341.84 × 3,861.95
  4. Step 4: Simplify right side
    4,899.42x = 28,353,782.28
  5. Step 5: Solve for x
    x = 28,353,782.28/4,899.42
  6. Step 6: Final answer
    x = 5,787.17

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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.