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Finding the Fourth Proportional to 4,600.67, 6,895.22 and 2,492.22

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Solution

The fourth proportional to 4,600.67, 6,895.22 and 2,492.22 is: 3,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.67 : 6,895.22 = 2,492.22 : x
  2. Step 2: Convert to fraction form
    4,600.67/6,895.22 = 2,492.22/x
  3. Step 3: Cross multiply
    4,600.67x = 6,895.22 × 2,492.22
  4. Step 4: Simplify right side
    4,600.67x = 17,184,370.71
  5. Step 5: Solve for x
    x = 17,184,370.71/4,600.67
  6. Step 6: Final answer
    x = 3,735.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.