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Finding the Fourth Proportional to 4,492.26, 6,734.47 and 1,858.12

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Solution

The fourth proportional to 4,492.26, 6,734.47 and 1,858.12 is: 2,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.26 : 6,734.47 = 1,858.12 : x
  2. Step 2: Convert to fraction form
    4,492.26/6,734.47 = 1,858.12/x
  3. Step 3: Cross multiply
    4,492.26x = 6,734.47 × 1,858.12
  4. Step 4: Simplify right side
    4,492.26x = 12,513,431.91
  5. Step 5: Solve for x
    x = 12,513,431.91/4,492.26
  6. Step 6: Final answer
    x = 2,785.56

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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.