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Finding the Fourth Proportional to 4,765.69, 7,145.06 and 1,993.16

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Solution

The fourth proportional to 4,765.69, 7,145.06 and 1,993.16 is: 2,988.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.69 : 7,145.06 = 1,993.16 : x
  2. Step 2: Convert to fraction form
    4,765.69/7,145.06 = 1,993.16/x
  3. Step 3: Cross multiply
    4,765.69x = 7,145.06 × 1,993.16
  4. Step 4: Simplify right side
    4,765.69x = 14,241,226.71
  5. Step 5: Solve for x
    x = 14,241,226.71/4,765.69
  6. Step 6: Final answer
    x = 2,988.28

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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.