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Finding the Fourth Proportional to 5,980.24, 8,970.36 and 1,597.59

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Solution

The fourth proportional to 5,980.24, 8,970.36 and 1,597.59 is: 2,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.24 : 8,970.36 = 1,597.59 : x
  2. Step 2: Convert to fraction form
    5,980.24/8,970.36 = 1,597.59/x
  3. Step 3: Cross multiply
    5,980.24x = 8,970.36 × 1,597.59
  4. Step 4: Simplify right side
    5,980.24x = 14,330,957.43
  5. Step 5: Solve for x
    x = 14,330,957.43/5,980.24
  6. Step 6: Final answer
    x = 2,396.39

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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.