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Finding the Fourth Proportional to 4,492.53, 6,733.94 and 1,861.79

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Solution

The fourth proportional to 4,492.53, 6,733.94 and 1,861.79 is: 2,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.53 : 6,733.94 = 1,861.79 : x
  2. Step 2: Convert to fraction form
    4,492.53/6,733.94 = 1,861.79/x
  3. Step 3: Cross multiply
    4,492.53x = 6,733.94 × 1,861.79
  4. Step 4: Simplify right side
    4,492.53x = 12,537,139.17
  5. Step 5: Solve for x
    x = 12,537,139.17/4,492.53
  6. Step 6: Final answer
    x = 2,790.66

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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.