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Finding the Fourth Proportional to 4,065.81, 6,094.61 and 1,599.67

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Solution

The fourth proportional to 4,065.81, 6,094.61 and 1,599.67 is: 2,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.81 : 6,094.61 = 1,599.67 : x
  2. Step 2: Convert to fraction form
    4,065.81/6,094.61 = 1,599.67/x
  3. Step 3: Cross multiply
    4,065.81x = 6,094.61 × 1,599.67
  4. Step 4: Simplify right side
    4,065.81x = 9,749,336.12
  5. Step 5: Solve for x
    x = 9,749,336.12/4,065.81
  6. Step 6: Final answer
    x = 2,397.88

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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.