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Finding the Fourth Proportional to 4,674.84, 6,450.99 and 2,684

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Solution

The fourth proportional to 4,674.84, 6,450.99 and 2,684 is: 3,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.84 : 6,450.99 = 2,684 : x
  2. Step 2: Convert to fraction form
    4,674.84/6,450.99 = 2,684/x
  3. Step 3: Cross multiply
    4,674.84x = 6,450.99 × 2,684
  4. Step 4: Simplify right side
    4,674.84x = 17,314,457.16
  5. Step 5: Solve for x
    x = 17,314,457.16/4,674.84
  6. Step 6: Final answer
    x = 3,703.75

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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.