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Finding the Fourth Proportional to 5,980.27, 8,969.70 and 1,598.07

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Solution

The fourth proportional to 5,980.27, 8,969.70 and 1,598.07 is: 2,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.27 : 8,969.70 = 1,598.07 : x
  2. Step 2: Convert to fraction form
    5,980.27/8,969.70 = 1,598.07/x
  3. Step 3: Cross multiply
    5,980.27x = 8,969.70 × 1,598.07
  4. Step 4: Simplify right side
    5,980.27x = 14,334,208.48
  5. Step 5: Solve for x
    x = 14,334,208.48/5,980.27
  6. Step 6: Final answer
    x = 2,396.92

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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.