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Finding the Fourth Proportional to 5,075.80, 7,610.10 and 2,300.20

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Solution

The fourth proportional to 5,075.80, 7,610.10 and 2,300.20 is: 3,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.80 : 7,610.10 = 2,300.20 : x
  2. Step 2: Convert to fraction form
    5,075.80/7,610.10 = 2,300.20/x
  3. Step 3: Cross multiply
    5,075.80x = 7,610.10 × 2,300.20
  4. Step 4: Simplify right side
    5,075.80x = 17,504,752.02
  5. Step 5: Solve for x
    x = 17,504,752.02/5,075.80
  6. Step 6: Final answer
    x = 3,448.67

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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.