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Finding the Fourth Proportional to 4,559.36, 6,839.34 and 1,597.46

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Solution

The fourth proportional to 4,559.36, 6,839.34 and 1,597.46 is: 2,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.36 : 6,839.34 = 1,597.46 : x
  2. Step 2: Convert to fraction form
    4,559.36/6,839.34 = 1,597.46/x
  3. Step 3: Cross multiply
    4,559.36x = 6,839.34 × 1,597.46
  4. Step 4: Simplify right side
    4,559.36x = 10,925,531.89
  5. Step 5: Solve for x
    x = 10,925,531.89/4,559.36
  6. Step 6: Final answer
    x = 2,396.29

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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.