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Finding the Fourth Proportional to 7,058.97, 9,741.28 and 4,075.31

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Solution

The fourth proportional to 7,058.97, 9,741.28 and 4,075.31 is: 5,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.97 : 9,741.28 = 4,075.31 : x
  2. Step 2: Convert to fraction form
    7,058.97/9,741.28 = 4,075.31/x
  3. Step 3: Cross multiply
    7,058.97x = 9,741.28 × 4,075.31
  4. Step 4: Simplify right side
    7,058.97x = 39,698,735.80
  5. Step 5: Solve for x
    x = 39,698,735.80/7,058.97
  6. Step 6: Final answer
    x = 5,623.87

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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.