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Finding the Fourth Proportional to 5,994.38, 8,277.18 and 4,409.84

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Solution

The fourth proportional to 5,994.38, 8,277.18 and 4,409.84 is: 6,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.38 : 8,277.18 = 4,409.84 : x
  2. Step 2: Convert to fraction form
    5,994.38/8,277.18 = 4,409.84/x
  3. Step 3: Cross multiply
    5,994.38x = 8,277.18 × 4,409.84
  4. Step 4: Simplify right side
    5,994.38x = 36,501,039.45
  5. Step 5: Solve for x
    x = 36,501,039.45/5,994.38
  6. Step 6: Final answer
    x = 6,089.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.