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Finding the Fourth Proportional to 4,883.08, 7,324.86 and 1,420.40

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Solution

The fourth proportional to 4,883.08, 7,324.86 and 1,420.40 is: 2,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.08 : 7,324.86 = 1,420.40 : x
  2. Step 2: Convert to fraction form
    4,883.08/7,324.86 = 1,420.40/x
  3. Step 3: Cross multiply
    4,883.08x = 7,324.86 × 1,420.40
  4. Step 4: Simplify right side
    4,883.08x = 10,404,231.14
  5. Step 5: Solve for x
    x = 10,404,231.14/4,883.08
  6. Step 6: Final answer
    x = 2,130.67

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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.