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Finding the Fourth Proportional to 3,533.36, 5,289.96 and 2,804

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Solution

The fourth proportional to 3,533.36, 5,289.96 and 2,804 is: 4,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.36 : 5,289.96 = 2,804 : x
  2. Step 2: Convert to fraction form
    3,533.36/5,289.96 = 2,804/x
  3. Step 3: Cross multiply
    3,533.36x = 5,289.96 × 2,804
  4. Step 4: Simplify right side
    3,533.36x = 14,833,047.84
  5. Step 5: Solve for x
    x = 14,833,047.84/3,533.36
  6. Step 6: Final answer
    x = 4,198.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.