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Finding the Fourth Proportional to 3,495.54, 5,235.75 and 1,643.88

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Solution

The fourth proportional to 3,495.54, 5,235.75 and 1,643.88 is: 2,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.54 : 5,235.75 = 1,643.88 : x
  2. Step 2: Convert to fraction form
    3,495.54/5,235.75 = 1,643.88/x
  3. Step 3: Cross multiply
    3,495.54x = 5,235.75 × 1,643.88
  4. Step 4: Simplify right side
    3,495.54x = 8,606,944.71
  5. Step 5: Solve for x
    x = 8,606,944.71/3,495.54
  6. Step 6: Final answer
    x = 2,462.26

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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.