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Finding the Fourth Proportional to 3,492.21, 4,821.53 and 2,167.86

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Solution

The fourth proportional to 3,492.21, 4,821.53 and 2,167.86 is: 2,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.21 : 4,821.53 = 2,167.86 : x
  2. Step 2: Convert to fraction form
    3,492.21/4,821.53 = 2,167.86/x
  3. Step 3: Cross multiply
    3,492.21x = 4,821.53 × 2,167.86
  4. Step 4: Simplify right side
    3,492.21x = 10,452,391.19
  5. Step 5: Solve for x
    x = 10,452,391.19/3,492.21
  6. Step 6: Final answer
    x = 2,993.06

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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.