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Finding the Fourth Proportional to 3,495.19, 5,241.75 and 1,029.96

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Solution

The fourth proportional to 3,495.19, 5,241.75 and 1,029.96 is: 1,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.19 : 5,241.75 = 1,029.96 : x
  2. Step 2: Convert to fraction form
    3,495.19/5,241.75 = 1,029.96/x
  3. Step 3: Cross multiply
    3,495.19x = 5,241.75 × 1,029.96
  4. Step 4: Simplify right side
    3,495.19x = 5,398,792.83
  5. Step 5: Solve for x
    x = 5,398,792.83/3,495.19
  6. Step 6: Final answer
    x = 1,544.64

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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.