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Finding the Fourth Proportional to 4,763.67, 7,145.23 and 1,476.66

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Solution

The fourth proportional to 4,763.67, 7,145.23 and 1,476.66 is: 2,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.67 : 7,145.23 = 1,476.66 : x
  2. Step 2: Convert to fraction form
    4,763.67/7,145.23 = 1,476.66/x
  3. Step 3: Cross multiply
    4,763.67x = 7,145.23 × 1,476.66
  4. Step 4: Simplify right side
    4,763.67x = 10,551,075.33
  5. Step 5: Solve for x
    x = 10,551,075.33/4,763.67
  6. Step 6: Final answer
    x = 2,214.90

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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.