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Finding the Fourth Proportional to 4,492.33, 6,738.26 and 1,858.68

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Solution

The fourth proportional to 4,492.33, 6,738.26 and 1,858.68 is: 2,787.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.33 : 6,738.26 = 1,858.68 : x
  2. Step 2: Convert to fraction form
    4,492.33/6,738.26 = 1,858.68/x
  3. Step 3: Cross multiply
    4,492.33x = 6,738.26 × 1,858.68
  4. Step 4: Simplify right side
    4,492.33x = 12,524,259.80
  5. Step 5: Solve for x
    x = 12,524,259.80/4,492.33
  6. Step 6: Final answer
    x = 2,787.92

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