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Finding the Fourth Proportional to 3,495.96, 5,242.36 and 1,029.91

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Solution

The fourth proportional to 3,495.96, 5,242.36 and 1,029.91 is: 1,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.96 : 5,242.36 = 1,029.91 : x
  2. Step 2: Convert to fraction form
    3,495.96/5,242.36 = 1,029.91/x
  3. Step 3: Cross multiply
    3,495.96x = 5,242.36 × 1,029.91
  4. Step 4: Simplify right side
    3,495.96x = 5,399,158.99
  5. Step 5: Solve for x
    x = 5,399,158.99/3,495.96
  6. Step 6: Final answer
    x = 1,544.40

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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.