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Finding the Fourth Proportional to 5,901.60, 8,857.86 and 2,981.94

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Solution

The fourth proportional to 5,901.60, 8,857.86 and 2,981.94 is: 4,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.60 : 8,857.86 = 2,981.94 : x
  2. Step 2: Convert to fraction form
    5,901.60/8,857.86 = 2,981.94/x
  3. Step 3: Cross multiply
    5,901.60x = 8,857.86 × 2,981.94
  4. Step 4: Simplify right side
    5,901.60x = 26,413,607.05
  5. Step 5: Solve for x
    x = 26,413,607.05/5,901.60
  6. Step 6: Final answer
    x = 4,475.67

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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.