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Finding the Fourth Proportional to 4,994.67, 7,489.13 and 2,075.07

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Solution

The fourth proportional to 4,994.67, 7,489.13 and 2,075.07 is: 3,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.67 : 7,489.13 = 2,075.07 : x
  2. Step 2: Convert to fraction form
    4,994.67/7,489.13 = 2,075.07/x
  3. Step 3: Cross multiply
    4,994.67x = 7,489.13 × 2,075.07
  4. Step 4: Simplify right side
    4,994.67x = 15,540,458.61
  5. Step 5: Solve for x
    x = 15,540,458.61/4,994.67
  6. Step 6: Final answer
    x = 3,111.41

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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.