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Finding the Fourth Proportional to 4,661.84, 6,994.56 and 2,321.84

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Solution

The fourth proportional to 4,661.84, 6,994.56 and 2,321.84 is: 3,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.84 : 6,994.56 = 2,321.84 : x
  2. Step 2: Convert to fraction form
    4,661.84/6,994.56 = 2,321.84/x
  3. Step 3: Cross multiply
    4,661.84x = 6,994.56 × 2,321.84
  4. Step 4: Simplify right side
    4,661.84x = 16,240,249.19
  5. Step 5: Solve for x
    x = 16,240,249.19/4,661.84
  6. Step 6: Final answer
    x = 3,483.66

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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.