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Finding the Fourth Proportional to 5,889.14, 8,835.72 and 2,966.66

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Solution

The fourth proportional to 5,889.14, 8,835.72 and 2,966.66 is: 4,451.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.14 : 8,835.72 = 2,966.66 : x
  2. Step 2: Convert to fraction form
    5,889.14/8,835.72 = 2,966.66/x
  3. Step 3: Cross multiply
    5,889.14x = 8,835.72 × 2,966.66
  4. Step 4: Simplify right side
    5,889.14x = 26,212,577.10
  5. Step 5: Solve for x
    x = 26,212,577.10/5,889.14
  6. Step 6: Final answer
    x = 4,451.00

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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.