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Finding the Fourth Proportional to 5,803.02, 8,662.37 and 4,986.54

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Solution

The fourth proportional to 5,803.02, 8,662.37 and 4,986.54 is: 7,443.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.02 : 8,662.37 = 4,986.54 : x
  2. Step 2: Convert to fraction form
    5,803.02/8,662.37 = 4,986.54/x
  3. Step 3: Cross multiply
    5,803.02x = 8,662.37 × 4,986.54
  4. Step 4: Simplify right side
    5,803.02x = 43,195,229.57
  5. Step 5: Solve for x
    x = 43,195,229.57/5,803.02
  6. Step 6: Final answer
    x = 7,443.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.