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Finding the Fourth Proportional to 6,492.94, 8,961.60 and 3,842.08

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Solution

The fourth proportional to 6,492.94, 8,961.60 and 3,842.08 is: 5,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.94 : 8,961.60 = 3,842.08 : x
  2. Step 2: Convert to fraction form
    6,492.94/8,961.60 = 3,842.08/x
  3. Step 3: Cross multiply
    6,492.94x = 8,961.60 × 3,842.08
  4. Step 4: Simplify right side
    6,492.94x = 34,431,184.13
  5. Step 5: Solve for x
    x = 34,431,184.13/6,492.94
  6. Step 6: Final answer
    x = 5,302.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.