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Finding the Fourth Proportional to 3,593.94, 5,392.96 and 1,402.16

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Solution

The fourth proportional to 3,593.94, 5,392.96 and 1,402.16 is: 2,104.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.94 : 5,392.96 = 1,402.16 : x
  2. Step 2: Convert to fraction form
    3,593.94/5,392.96 = 1,402.16/x
  3. Step 3: Cross multiply
    3,593.94x = 5,392.96 × 1,402.16
  4. Step 4: Simplify right side
    3,593.94x = 7,561,762.32
  5. Step 5: Solve for x
    x = 7,561,762.32/3,593.94
  6. Step 6: Final answer
    x = 2,104.03

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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.