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Finding the Fourth Proportional to 3,534.42, 5,293.43 and 3,411.41

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Solution

The fourth proportional to 3,534.42, 5,293.43 and 3,411.41 is: 5,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.42 : 5,293.43 = 3,411.41 : x
  2. Step 2: Convert to fraction form
    3,534.42/5,293.43 = 3,411.41/x
  3. Step 3: Cross multiply
    3,534.42x = 5,293.43 × 3,411.41
  4. Step 4: Simplify right side
    3,534.42x = 18,058,016.51
  5. Step 5: Solve for x
    x = 18,058,016.51/3,534.42
  6. Step 6: Final answer
    x = 5,109.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.