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Finding the Fourth Proportional to 6,492.54, 8,960.16 and 3,698.04

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Solution

The fourth proportional to 6,492.54, 8,960.16 and 3,698.04 is: 5,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.54 : 8,960.16 = 3,698.04 : x
  2. Step 2: Convert to fraction form
    6,492.54/8,960.16 = 3,698.04/x
  3. Step 3: Cross multiply
    6,492.54x = 8,960.16 × 3,698.04
  4. Step 4: Simplify right side
    6,492.54x = 33,135,030.09
  5. Step 5: Solve for x
    x = 33,135,030.09/6,492.54
  6. Step 6: Final answer
    x = 5,103.55

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