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Finding the Fourth Proportional to 3,889.82, 5,832.61 and 2,430

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Solution

The fourth proportional to 3,889.82, 5,832.61 and 2,430 is: 3,643.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.82 : 5,832.61 = 2,430 : x
  2. Step 2: Convert to fraction form
    3,889.82/5,832.61 = 2,430/x
  3. Step 3: Cross multiply
    3,889.82x = 5,832.61 × 2,430
  4. Step 4: Simplify right side
    3,889.82x = 14,173,236.23
  5. Step 5: Solve for x
    x = 14,173,236.23/3,889.82
  6. Step 6: Final answer
    x = 3,643.67

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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.