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Finding the Fourth Proportional to 3,495.08, 5,242.86 and 1,029.85

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Solution

The fourth proportional to 3,495.08, 5,242.86 and 1,029.85 is: 1,544.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.08 : 5,242.86 = 1,029.85 : x
  2. Step 2: Convert to fraction form
    3,495.08/5,242.86 = 1,029.85/x
  3. Step 3: Cross multiply
    3,495.08x = 5,242.86 × 1,029.85
  4. Step 4: Simplify right side
    3,495.08x = 5,399,346.26
  5. Step 5: Solve for x
    x = 5,399,346.26/3,495.08
  6. Step 6: Final answer
    x = 1,544.84

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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.