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Finding the Fourth Proportional to 5,984.60, 8,258.40 and 3,466.54

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Solution

The fourth proportional to 5,984.60, 8,258.40 and 3,466.54 is: 4,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.60 : 8,258.40 = 3,466.54 : x
  2. Step 2: Convert to fraction form
    5,984.60/8,258.40 = 3,466.54/x
  3. Step 3: Cross multiply
    5,984.60x = 8,258.40 × 3,466.54
  4. Step 4: Simplify right side
    5,984.60x = 28,628,053.29
  5. Step 5: Solve for x
    x = 28,628,053.29/5,984.60
  6. Step 6: Final answer
    x = 4,783.62

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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.