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Finding the Fourth Proportional to 3,495.78, 5,242.83 and 1,029.93

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Solution

The fourth proportional to 3,495.78, 5,242.83 and 1,029.93 is: 1,544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.78 : 5,242.83 = 1,029.93 : x
  2. Step 2: Convert to fraction form
    3,495.78/5,242.83 = 1,029.93/x
  3. Step 3: Cross multiply
    3,495.78x = 5,242.83 × 1,029.93
  4. Step 4: Simplify right side
    3,495.78x = 5,399,747.90
  5. Step 5: Solve for x
    x = 5,399,747.90/3,495.78
  6. Step 6: Final answer
    x = 1,544.65

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Why These Related Problems?

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