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Finding the Fourth Proportional to 3,283.83, 4,534.64 and 3,054.20

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Solution

The fourth proportional to 3,283.83, 4,534.64 and 3,054.20 is: 4,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.83 : 4,534.64 = 3,054.20 : x
  2. Step 2: Convert to fraction form
    3,283.83/4,534.64 = 3,054.20/x
  3. Step 3: Cross multiply
    3,283.83x = 4,534.64 × 3,054.20
  4. Step 4: Simplify right side
    3,283.83x = 13,849,659.54
  5. Step 5: Solve for x
    x = 13,849,659.54/3,283.83
  6. Step 6: Final answer
    x = 4,217.53

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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.