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Finding the Fourth Proportional to 6,112.54, 8,438.64 and 4,608.58

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Solution

The fourth proportional to 6,112.54, 8,438.64 and 4,608.58 is: 6,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.54 : 8,438.64 = 4,608.58 : x
  2. Step 2: Convert to fraction form
    6,112.54/8,438.64 = 4,608.58/x
  3. Step 3: Cross multiply
    6,112.54x = 8,438.64 × 4,608.58
  4. Step 4: Simplify right side
    6,112.54x = 38,890,147.53
  5. Step 5: Solve for x
    x = 38,890,147.53/6,112.54
  6. Step 6: Final answer
    x = 6,362.35

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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.