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Finding the Fourth Proportional to 3,741.74, 5,606.42 and 1,658.62

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Solution

The fourth proportional to 3,741.74, 5,606.42 and 1,658.62 is: 2,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.74 : 5,606.42 = 1,658.62 : x
  2. Step 2: Convert to fraction form
    3,741.74/5,606.42 = 1,658.62/x
  3. Step 3: Cross multiply
    3,741.74x = 5,606.42 × 1,658.62
  4. Step 4: Simplify right side
    3,741.74x = 9,298,920.34
  5. Step 5: Solve for x
    x = 9,298,920.34/3,741.74
  6. Step 6: Final answer
    x = 2,485.19

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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.