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Finding the Fourth Proportional to 6,485.40, 8,949.48 and 3,833.06

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Solution

The fourth proportional to 6,485.40, 8,949.48 and 3,833.06 is: 5,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.40 : 8,949.48 = 3,833.06 : x
  2. Step 2: Convert to fraction form
    6,485.40/8,949.48 = 3,833.06/x
  3. Step 3: Cross multiply
    6,485.40x = 8,949.48 × 3,833.06
  4. Step 4: Simplify right side
    6,485.40x = 34,303,893.81
  5. Step 5: Solve for x
    x = 34,303,893.81/6,485.40
  6. Step 6: Final answer
    x = 5,289.40

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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.