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Finding the Fourth Proportional to 6,491.67, 9,738.81 and 2,050.02

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Solution

The fourth proportional to 6,491.67, 9,738.81 and 2,050.02 is: 3,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.67 : 9,738.81 = 2,050.02 : x
  2. Step 2: Convert to fraction form
    6,491.67/9,738.81 = 2,050.02/x
  3. Step 3: Cross multiply
    6,491.67x = 9,738.81 × 2,050.02
  4. Step 4: Simplify right side
    6,491.67x = 19,964,798.34
  5. Step 5: Solve for x
    x = 19,964,798.34/6,491.67
  6. Step 6: Final answer
    x = 3,075.45

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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.