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Finding the Fourth Proportional to 3,705.62, 5,558.90 and 1,242.22

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Solution

The fourth proportional to 3,705.62, 5,558.90 and 1,242.22 is: 1,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.62 : 5,558.90 = 1,242.22 : x
  2. Step 2: Convert to fraction form
    3,705.62/5,558.90 = 1,242.22/x
  3. Step 3: Cross multiply
    3,705.62x = 5,558.90 × 1,242.22
  4. Step 4: Simplify right side
    3,705.62x = 6,905,376.76
  5. Step 5: Solve for x
    x = 6,905,376.76/3,705.62
  6. Step 6: Final answer
    x = 1,863.49

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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.