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Finding the Fourth Proportional to 3,495.29, 5,238.32 and 1,851.39

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Solution

The fourth proportional to 3,495.29, 5,238.32 and 1,851.39 is: 2,774.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.29 : 5,238.32 = 1,851.39 : x
  2. Step 2: Convert to fraction form
    3,495.29/5,238.32 = 1,851.39/x
  3. Step 3: Cross multiply
    3,495.29x = 5,238.32 × 1,851.39
  4. Step 4: Simplify right side
    3,495.29x = 9,698,164.01
  5. Step 5: Solve for x
    x = 9,698,164.01/3,495.29
  6. Step 6: Final answer
    x = 2,774.64

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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.