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Finding the Fourth Proportional to 5,944.80, 8,211.68 and 4,564.64

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Solution

The fourth proportional to 5,944.80, 8,211.68 and 4,564.64 is: 6,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.80 : 8,211.68 = 4,564.64 : x
  2. Step 2: Convert to fraction form
    5,944.80/8,211.68 = 4,564.64/x
  3. Step 3: Cross multiply
    5,944.80x = 8,211.68 × 4,564.64
  4. Step 4: Simplify right side
    5,944.80x = 37,483,363.00
  5. Step 5: Solve for x
    x = 37,483,363.00/5,944.80
  6. Step 6: Final answer
    x = 6,305.24

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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.