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Finding the Fourth Proportional to 5,989.76, 8,986.08 and 2,094.08

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Solution

The fourth proportional to 5,989.76, 8,986.08 and 2,094.08 is: 3,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.76 : 8,986.08 = 2,094.08 : x
  2. Step 2: Convert to fraction form
    5,989.76/8,986.08 = 2,094.08/x
  3. Step 3: Cross multiply
    5,989.76x = 8,986.08 × 2,094.08
  4. Step 4: Simplify right side
    5,989.76x = 18,817,570.41
  5. Step 5: Solve for x
    x = 18,817,570.41/5,989.76
  6. Step 6: Final answer
    x = 3,141.62

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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.