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Finding the Fourth Proportional to 6,049.58, 9,075.27 and 2,153.07

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Solution

The fourth proportional to 6,049.58, 9,075.27 and 2,153.07 is: 3,229.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.58 : 9,075.27 = 2,153.07 : x
  2. Step 2: Convert to fraction form
    6,049.58/9,075.27 = 2,153.07/x
  3. Step 3: Cross multiply
    6,049.58x = 9,075.27 × 2,153.07
  4. Step 4: Simplify right side
    6,049.58x = 19,539,691.58
  5. Step 5: Solve for x
    x = 19,539,691.58/6,049.58
  6. Step 6: Final answer
    x = 3,229.93

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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.