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Finding the Fourth Proportional to 6,544.14, 9,030.66 and 3,559.98

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Solution

The fourth proportional to 6,544.14, 9,030.66 and 3,559.98 is: 4,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.14 : 9,030.66 = 3,559.98 : x
  2. Step 2: Convert to fraction form
    6,544.14/9,030.66 = 3,559.98/x
  3. Step 3: Cross multiply
    6,544.14x = 9,030.66 × 3,559.98
  4. Step 4: Simplify right side
    6,544.14x = 32,148,968.99
  5. Step 5: Solve for x
    x = 32,148,968.99/6,544.14
  6. Step 6: Final answer
    x = 4,912.63

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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.