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Finding the Fourth Proportional to 4,996.90, 7,499.67 and 2,075.14

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Solution

The fourth proportional to 4,996.90, 7,499.67 and 2,075.14 is: 3,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.90 : 7,499.67 = 2,075.14 : x
  2. Step 2: Convert to fraction form
    4,996.90/7,499.67 = 2,075.14/x
  3. Step 3: Cross multiply
    4,996.90x = 7,499.67 × 2,075.14
  4. Step 4: Simplify right side
    4,996.90x = 15,562,865.20
  5. Step 5: Solve for x
    x = 15,562,865.20/4,996.90
  6. Step 6: Final answer
    x = 3,114.50

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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.