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Finding the Fourth Proportional to 4,667.50, 6,441.15 and 2,804.50

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Solution

The fourth proportional to 4,667.50, 6,441.15 and 2,804.50 is: 3,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.50 : 6,441.15 = 2,804.50 : x
  2. Step 2: Convert to fraction form
    4,667.50/6,441.15 = 2,804.50/x
  3. Step 3: Cross multiply
    4,667.50x = 6,441.15 × 2,804.50
  4. Step 4: Simplify right side
    4,667.50x = 18,064,205.18
  5. Step 5: Solve for x
    x = 18,064,205.18/4,667.50
  6. Step 6: Final answer
    x = 3,870.21

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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.