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Finding the Fourth Proportional to 6,075.76, 8,380.74 and 3,713.80

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Solution

The fourth proportional to 6,075.76, 8,380.74 and 3,713.80 is: 5,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.76 : 8,380.74 = 3,713.80 : x
  2. Step 2: Convert to fraction form
    6,075.76/8,380.74 = 3,713.80/x
  3. Step 3: Cross multiply
    6,075.76x = 8,380.74 × 3,713.80
  4. Step 4: Simplify right side
    6,075.76x = 31,124,392.21
  5. Step 5: Solve for x
    x = 31,124,392.21/6,075.76
  6. Step 6: Final answer
    x = 5,122.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.