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Finding the Fourth Proportional to 3,638.54, 5,457.56 and 1,298.28

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Solution

The fourth proportional to 3,638.54, 5,457.56 and 1,298.28 is: 1,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.54 : 5,457.56 = 1,298.28 : x
  2. Step 2: Convert to fraction form
    3,638.54/5,457.56 = 1,298.28/x
  3. Step 3: Cross multiply
    3,638.54x = 5,457.56 × 1,298.28
  4. Step 4: Simplify right side
    3,638.54x = 7,085,444.74
  5. Step 5: Solve for x
    x = 7,085,444.74/3,638.54
  6. Step 6: Final answer
    x = 1,947.33

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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.