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Finding the Fourth Proportional to 3,584.06, 4,952.41 and 2,804.03

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Solution

The fourth proportional to 3,584.06, 4,952.41 and 2,804.03 is: 3,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.06 : 4,952.41 = 2,804.03 : x
  2. Step 2: Convert to fraction form
    3,584.06/4,952.41 = 2,804.03/x
  3. Step 3: Cross multiply
    3,584.06x = 4,952.41 × 2,804.03
  4. Step 4: Simplify right side
    3,584.06x = 13,886,688.46
  5. Step 5: Solve for x
    x = 13,886,688.46/3,584.06
  6. Step 6: Final answer
    x = 3,874.57

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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.