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Finding the Fourth Proportional to 4,903.67, 7,358.70 and 1,825.67

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Solution

The fourth proportional to 4,903.67, 7,358.70 and 1,825.67 is: 2,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.67 : 7,358.70 = 1,825.67 : x
  2. Step 2: Convert to fraction form
    4,903.67/7,358.70 = 1,825.67/x
  3. Step 3: Cross multiply
    4,903.67x = 7,358.70 × 1,825.67
  4. Step 4: Simplify right side
    4,903.67x = 13,434,557.83
  5. Step 5: Solve for x
    x = 13,434,557.83/4,903.67
  6. Step 6: Final answer
    x = 2,739.69

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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.