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Finding the Fourth Proportional to 4,494.54, 6,741.58 and 1,721

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Solution

The fourth proportional to 4,494.54, 6,741.58 and 1,721 is: 2,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.54 : 6,741.58 = 1,721 : x
  2. Step 2: Convert to fraction form
    4,494.54/6,741.58 = 1,721/x
  3. Step 3: Cross multiply
    4,494.54x = 6,741.58 × 1,721
  4. Step 4: Simplify right side
    4,494.54x = 11,602,259.18
  5. Step 5: Solve for x
    x = 11,602,259.18/4,494.54
  6. Step 6: Final answer
    x = 2,581.41

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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.