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Finding the Fourth Proportional to 6,395.60, 8,825.89 and 3,563.00

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Solution

The fourth proportional to 6,395.60, 8,825.89 and 3,563.00 is: 4,916.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.60 : 8,825.89 = 3,563.00 : x
  2. Step 2: Convert to fraction form
    6,395.60/8,825.89 = 3,563.00/x
  3. Step 3: Cross multiply
    6,395.60x = 8,825.89 × 3,563.00
  4. Step 4: Simplify right side
    6,395.60x = 31,446,659.23
  5. Step 5: Solve for x
    x = 31,446,659.23/6,395.60
  6. Step 6: Final answer
    x = 4,916.92

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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.