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Finding the Fourth Proportional to 4,230.36, 6,342.26 and 1,597.82

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Solution

The fourth proportional to 4,230.36, 6,342.26 and 1,597.82 is: 2,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.36 : 6,342.26 = 1,597.82 : x
  2. Step 2: Convert to fraction form
    4,230.36/6,342.26 = 1,597.82/x
  3. Step 3: Cross multiply
    4,230.36x = 6,342.26 × 1,597.82
  4. Step 4: Simplify right side
    4,230.36x = 10,133,750.17
  5. Step 5: Solve for x
    x = 10,133,750.17/4,230.36
  6. Step 6: Final answer
    x = 2,395.48

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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.