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Finding the Fourth Proportional to 3,705.63, 5,558.31 and 1,108.50

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Solution

The fourth proportional to 3,705.63, 5,558.31 and 1,108.50 is: 1,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.63 : 5,558.31 = 1,108.50 : x
  2. Step 2: Convert to fraction form
    3,705.63/5,558.31 = 1,108.50/x
  3. Step 3: Cross multiply
    3,705.63x = 5,558.31 × 1,108.50
  4. Step 4: Simplify right side
    3,705.63x = 6,161,386.64
  5. Step 5: Solve for x
    x = 6,161,386.64/3,705.63
  6. Step 6: Final answer
    x = 1,662.71

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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.