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Finding the Fourth Proportional to 3,228.48, 4,838.06 and 1,583.16

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Solution

The fourth proportional to 3,228.48, 4,838.06 and 1,583.16 is: 2,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.48 : 4,838.06 = 1,583.16 : x
  2. Step 2: Convert to fraction form
    3,228.48/4,838.06 = 1,583.16/x
  3. Step 3: Cross multiply
    3,228.48x = 4,838.06 × 1,583.16
  4. Step 4: Simplify right side
    3,228.48x = 7,659,415.15
  5. Step 5: Solve for x
    x = 7,659,415.15/3,228.48
  6. Step 6: Final answer
    x = 2,372.45

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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.