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Finding the Fourth Proportional to 6,541.56, 9,813.96 and 3,078

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Solution

The fourth proportional to 6,541.56, 9,813.96 and 3,078 is: 4,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.56 : 9,813.96 = 3,078 : x
  2. Step 2: Convert to fraction form
    6,541.56/9,813.96 = 3,078/x
  3. Step 3: Cross multiply
    6,541.56x = 9,813.96 × 3,078
  4. Step 4: Simplify right side
    6,541.56x = 30,207,368.88
  5. Step 5: Solve for x
    x = 30,207,368.88/6,541.56
  6. Step 6: Final answer
    x = 4,617.76

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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.