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Finding the Fourth Proportional to 3,654.98, 5,483 and 1,155.32

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Solution

The fourth proportional to 3,654.98, 5,483 and 1,155.32 is: 1,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.98 : 5,483 = 1,155.32 : x
  2. Step 2: Convert to fraction form
    3,654.98/5,483 = 1,155.32/x
  3. Step 3: Cross multiply
    3,654.98x = 5,483 × 1,155.32
  4. Step 4: Simplify right side
    3,654.98x = 6,334,619.56
  5. Step 5: Solve for x
    x = 6,334,619.56/3,654.98
  6. Step 6: Final answer
    x = 1,733.15

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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.