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Finding the Fourth Proportional to 6,492.08, 8,957.76 and 3,839.84

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Solution

The fourth proportional to 6,492.08, 8,957.76 and 3,839.84 is: 5,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.08 : 8,957.76 = 3,839.84 : x
  2. Step 2: Convert to fraction form
    6,492.08/8,957.76 = 3,839.84/x
  3. Step 3: Cross multiply
    6,492.08x = 8,957.76 × 3,839.84
  4. Step 4: Simplify right side
    6,492.08x = 34,396,365.16
  5. Step 5: Solve for x
    x = 34,396,365.16/6,492.08
  6. Step 6: Final answer
    x = 5,298.20

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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.