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Finding the Fourth Proportional to 3,492.01, 4,816.87 and 2,147.85

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Solution

The fourth proportional to 3,492.01, 4,816.87 and 2,147.85 is: 2,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.01 : 4,816.87 = 2,147.85 : x
  2. Step 2: Convert to fraction form
    3,492.01/4,816.87 = 2,147.85/x
  3. Step 3: Cross multiply
    3,492.01x = 4,816.87 × 2,147.85
  4. Step 4: Simplify right side
    3,492.01x = 10,345,908.86
  5. Step 5: Solve for x
    x = 10,345,908.86/3,492.01
  6. Step 6: Final answer
    x = 2,962.74

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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.