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Finding the Fourth Proportional to 5,109.37, 7,659.93 and 1,597.57

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Solution

The fourth proportional to 5,109.37, 7,659.93 and 1,597.57 is: 2,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.37 : 7,659.93 = 1,597.57 : x
  2. Step 2: Convert to fraction form
    5,109.37/7,659.93 = 1,597.57/x
  3. Step 3: Cross multiply
    5,109.37x = 7,659.93 × 1,597.57
  4. Step 4: Simplify right side
    5,109.37x = 12,237,285.53
  5. Step 5: Solve for x
    x = 12,237,285.53/5,109.37
  6. Step 6: Final answer
    x = 2,395.07

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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.