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Finding the Fourth Proportional to 4,664.60, 6,993.84 and 1,993.04

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Solution

The fourth proportional to 4,664.60, 6,993.84 and 1,993.04 is: 2,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.60 : 6,993.84 = 1,993.04 : x
  2. Step 2: Convert to fraction form
    4,664.60/6,993.84 = 1,993.04/x
  3. Step 3: Cross multiply
    4,664.60x = 6,993.84 × 1,993.04
  4. Step 4: Simplify right side
    4,664.60x = 13,939,002.87
  5. Step 5: Solve for x
    x = 13,939,002.87/4,664.60
  6. Step 6: Final answer
    x = 2,988.25

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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.