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Finding the Fourth Proportional to 5,409.45, 7,458.19 and 4,601.09

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Solution

The fourth proportional to 5,409.45, 7,458.19 and 4,601.09 is: 6,343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.45 : 7,458.19 = 4,601.09 : x
  2. Step 2: Convert to fraction form
    5,409.45/7,458.19 = 4,601.09/x
  3. Step 3: Cross multiply
    5,409.45x = 7,458.19 × 4,601.09
  4. Step 4: Simplify right side
    5,409.45x = 34,315,803.43
  5. Step 5: Solve for x
    x = 34,315,803.43/5,409.45
  6. Step 6: Final answer
    x = 6,343.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.