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Finding the Fourth Proportional to 5,896.96, 8,852.48 and 4,665.60

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Solution

The fourth proportional to 5,896.96, 8,852.48 and 4,665.60 is: 7,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.96 : 8,852.48 = 4,665.60 : x
  2. Step 2: Convert to fraction form
    5,896.96/8,852.48 = 4,665.60/x
  3. Step 3: Cross multiply
    5,896.96x = 8,852.48 × 4,665.60
  4. Step 4: Simplify right side
    5,896.96x = 41,302,130.69
  5. Step 5: Solve for x
    x = 41,302,130.69/5,896.96
  6. Step 6: Final answer
    x = 7,003.97

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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.