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Finding the Fourth Proportional to 5,981.94, 8,977.50 and 4,145.88

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Solution

The fourth proportional to 5,981.94, 8,977.50 and 4,145.88 is: 6,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.94 : 8,977.50 = 4,145.88 : x
  2. Step 2: Convert to fraction form
    5,981.94/8,977.50 = 4,145.88/x
  3. Step 3: Cross multiply
    5,981.94x = 8,977.50 × 4,145.88
  4. Step 4: Simplify right side
    5,981.94x = 37,219,637.70
  5. Step 5: Solve for x
    x = 37,219,637.70/5,981.94
  6. Step 6: Final answer
    x = 6,222.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.