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Finding the Fourth Proportional to 5,986.89, 8,980.74 and 4,686.03

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Solution

The fourth proportional to 5,986.89, 8,980.74 and 4,686.03 is: 7,029.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986.89 : 8,980.74 = 4,686.03 : x
  2. Step 2: Convert to fraction form
    5,986.89/8,980.74 = 4,686.03/x
  3. Step 3: Cross multiply
    5,986.89x = 8,980.74 × 4,686.03
  4. Step 4: Simplify right side
    5,986.89x = 42,084,017.06
  5. Step 5: Solve for x
    x = 42,084,017.06/5,986.89
  6. Step 6: Final answer
    x = 7,029.36

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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.