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Finding the Fourth Proportional to 5,852.93, 8,782.87 and 2,157.76

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Solution

The fourth proportional to 5,852.93, 8,782.87 and 2,157.76 is: 3,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.93 : 8,782.87 = 2,157.76 : x
  2. Step 2: Convert to fraction form
    5,852.93/8,782.87 = 2,157.76/x
  3. Step 3: Cross multiply
    5,852.93x = 8,782.87 × 2,157.76
  4. Step 4: Simplify right side
    5,852.93x = 18,951,298.22
  5. Step 5: Solve for x
    x = 18,951,298.22/5,852.93
  6. Step 6: Final answer
    x = 3,237.92

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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.