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Finding the Fourth Proportional to 5,994.00, 8,989.94 and 1,610.43

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Solution

The fourth proportional to 5,994.00, 8,989.94 and 1,610.43 is: 2,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.00 : 8,989.94 = 1,610.43 : x
  2. Step 2: Convert to fraction form
    5,994.00/8,989.94 = 1,610.43/x
  3. Step 3: Cross multiply
    5,994.00x = 8,989.94 × 1,610.43
  4. Step 4: Simplify right side
    5,994.00x = 14,477,616.07
  5. Step 5: Solve for x
    x = 14,477,616.07/5,994.00
  6. Step 6: Final answer
    x = 2,415.35

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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.