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Finding the Fourth Proportional to 4,601.54, 6,346.70 and 2,921.49

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Solution

The fourth proportional to 4,601.54, 6,346.70 and 2,921.49 is: 4,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.54 : 6,346.70 = 2,921.49 : x
  2. Step 2: Convert to fraction form
    4,601.54/6,346.70 = 2,921.49/x
  3. Step 3: Cross multiply
    4,601.54x = 6,346.70 × 2,921.49
  4. Step 4: Simplify right side
    4,601.54x = 18,541,820.58
  5. Step 5: Solve for x
    x = 18,541,820.58/4,601.54
  6. Step 6: Final answer
    x = 4,029.48

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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.