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Finding the Fourth Proportional to 6,576.58, 9,075.34 and 3,743.61

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Solution

The fourth proportional to 6,576.58, 9,075.34 and 3,743.61 is: 5,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.58 : 9,075.34 = 3,743.61 : x
  2. Step 2: Convert to fraction form
    6,576.58/9,075.34 = 3,743.61/x
  3. Step 3: Cross multiply
    6,576.58x = 9,075.34 × 3,743.61
  4. Step 4: Simplify right side
    6,576.58x = 33,974,533.58
  5. Step 5: Solve for x
    x = 33,974,533.58/6,576.58
  6. Step 6: Final answer
    x = 5,165.99

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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.