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Finding the Fourth Proportional to 5,990.94, 8,986.50 and 2,095.47

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Solution

The fourth proportional to 5,990.94, 8,986.50 and 2,095.47 is: 3,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.94 : 8,986.50 = 2,095.47 : x
  2. Step 2: Convert to fraction form
    5,990.94/8,986.50 = 2,095.47/x
  3. Step 3: Cross multiply
    5,990.94x = 8,986.50 × 2,095.47
  4. Step 4: Simplify right side
    5,990.94x = 18,830,941.16
  5. Step 5: Solve for x
    x = 18,830,941.16/5,990.94
  6. Step 6: Final answer
    x = 3,143.24

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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.