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Finding the Fourth Proportional to 4,038.16, 6,059.16 and 1,846.72

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Solution

The fourth proportional to 4,038.16, 6,059.16 and 1,846.72 is: 2,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.16 : 6,059.16 = 1,846.72 : x
  2. Step 2: Convert to fraction form
    4,038.16/6,059.16 = 1,846.72/x
  3. Step 3: Cross multiply
    4,038.16x = 6,059.16 × 1,846.72
  4. Step 4: Simplify right side
    4,038.16x = 11,189,571.96
  5. Step 5: Solve for x
    x = 11,189,571.96/4,038.16
  6. Step 6: Final answer
    x = 2,770.96

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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.