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Finding the Fourth Proportional to 3,435.72, 4,744.26 and 2,391

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Solution

The fourth proportional to 3,435.72, 4,744.26 and 2,391 is: 3,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.72 : 4,744.26 = 2,391 : x
  2. Step 2: Convert to fraction form
    3,435.72/4,744.26 = 2,391/x
  3. Step 3: Cross multiply
    3,435.72x = 4,744.26 × 2,391
  4. Step 4: Simplify right side
    3,435.72x = 11,343,525.66
  5. Step 5: Solve for x
    x = 11,343,525.66/3,435.72
  6. Step 6: Final answer
    x = 3,301.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.