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Finding the Fourth Proportional to 3,723.87, 5,570.40 and 3,058.26

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Solution

The fourth proportional to 3,723.87, 5,570.40 and 3,058.26 is: 4,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.87 : 5,570.40 = 3,058.26 : x
  2. Step 2: Convert to fraction form
    3,723.87/5,570.40 = 3,058.26/x
  3. Step 3: Cross multiply
    3,723.87x = 5,570.40 × 3,058.26
  4. Step 4: Simplify right side
    3,723.87x = 17,035,731.50
  5. Step 5: Solve for x
    x = 17,035,731.50/3,723.87
  6. Step 6: Final answer
    x = 4,574.74

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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.