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Finding the Fourth Proportional to 5,980.06, 8,969.54 and 1,597.36

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Solution

The fourth proportional to 5,980.06, 8,969.54 and 1,597.36 is: 2,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.06 : 8,969.54 = 1,597.36 : x
  2. Step 2: Convert to fraction form
    5,980.06/8,969.54 = 1,597.36/x
  3. Step 3: Cross multiply
    5,980.06x = 8,969.54 × 1,597.36
  4. Step 4: Simplify right side
    5,980.06x = 14,327,584.41
  5. Step 5: Solve for x
    x = 14,327,584.41/5,980.06
  6. Step 6: Final answer
    x = 2,395.89

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