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Finding the Fourth Proportional to 3,572.95, 5,361.54 and 1,993

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Solution

The fourth proportional to 3,572.95, 5,361.54 and 1,993 is: 2,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.95 : 5,361.54 = 1,993 : x
  2. Step 2: Convert to fraction form
    3,572.95/5,361.54 = 1,993/x
  3. Step 3: Cross multiply
    3,572.95x = 5,361.54 × 1,993
  4. Step 4: Simplify right side
    3,572.95x = 10,685,549.22
  5. Step 5: Solve for x
    x = 10,685,549.22/3,572.95
  6. Step 6: Final answer
    x = 2,990.68

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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.