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Finding the Fourth Proportional to 4,075.90, 6,114.05 and 2,131.90

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Solution

The fourth proportional to 4,075.90, 6,114.05 and 2,131.90 is: 3,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.90 : 6,114.05 = 2,131.90 : x
  2. Step 2: Convert to fraction form
    4,075.90/6,114.05 = 2,131.90/x
  3. Step 3: Cross multiply
    4,075.90x = 6,114.05 × 2,131.90
  4. Step 4: Simplify right side
    4,075.90x = 13,034,543.20
  5. Step 5: Solve for x
    x = 13,034,543.20/4,075.90
  6. Step 6: Final answer
    x = 3,197.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.