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Finding the Fourth Proportional to 4,492.93, 6,741.69 and 2,151.67

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Solution

The fourth proportional to 4,492.93, 6,741.69 and 2,151.67 is: 3,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.93 : 6,741.69 = 2,151.67 : x
  2. Step 2: Convert to fraction form
    4,492.93/6,741.69 = 2,151.67/x
  3. Step 3: Cross multiply
    4,492.93x = 6,741.69 × 2,151.67
  4. Step 4: Simplify right side
    4,492.93x = 14,505,892.12
  5. Step 5: Solve for x
    x = 14,505,892.12/4,492.93
  6. Step 6: Final answer
    x = 3,228.60

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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.