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Finding the Fourth Proportional to 5,931.37, 8,894.04 and 1,981.23

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Solution

The fourth proportional to 5,931.37, 8,894.04 and 1,981.23 is: 2,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.37 : 8,894.04 = 1,981.23 : x
  2. Step 2: Convert to fraction form
    5,931.37/8,894.04 = 1,981.23/x
  3. Step 3: Cross multiply
    5,931.37x = 8,894.04 × 1,981.23
  4. Step 4: Simplify right side
    5,931.37x = 17,621,138.87
  5. Step 5: Solve for x
    x = 17,621,138.87/5,931.37
  6. Step 6: Final answer
    x = 2,970.84

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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.