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Finding the Fourth Proportional to 4,741.72, 7,109.70 and 2,431.96

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Solution

The fourth proportional to 4,741.72, 7,109.70 and 2,431.96 is: 3,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.72 : 7,109.70 = 2,431.96 : x
  2. Step 2: Convert to fraction form
    4,741.72/7,109.70 = 2,431.96/x
  3. Step 3: Cross multiply
    4,741.72x = 7,109.70 × 2,431.96
  4. Step 4: Simplify right side
    4,741.72x = 17,290,506.01
  5. Step 5: Solve for x
    x = 17,290,506.01/4,741.72
  6. Step 6: Final answer
    x = 3,646.46

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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.