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Finding the Fourth Proportional to 4,492.60, 6,736.26 and 1,894.12

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Solution

The fourth proportional to 4,492.60, 6,736.26 and 1,894.12 is: 2,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.60 : 6,736.26 = 1,894.12 : x
  2. Step 2: Convert to fraction form
    4,492.60/6,736.26 = 1,894.12/x
  3. Step 3: Cross multiply
    4,492.60x = 6,736.26 × 1,894.12
  4. Step 4: Simplify right side
    4,492.60x = 12,759,284.79
  5. Step 5: Solve for x
    x = 12,759,284.79/4,492.60
  6. Step 6: Final answer
    x = 2,840.07

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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.