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Finding the Fourth Proportional to 3,283.89, 4,928.14 and 2,970.19

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Solution

The fourth proportional to 3,283.89, 4,928.14 and 2,970.19 is: 4,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.89 : 4,928.14 = 2,970.19 : x
  2. Step 2: Convert to fraction form
    3,283.89/4,928.14 = 2,970.19/x
  3. Step 3: Cross multiply
    3,283.89x = 4,928.14 × 2,970.19
  4. Step 4: Simplify right side
    3,283.89x = 14,637,512.15
  5. Step 5: Solve for x
    x = 14,637,512.15/3,283.89
  6. Step 6: Final answer
    x = 4,457.37

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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.