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Finding the Fourth Proportional to 3,924.41, 5,888.90 and 1,460.97

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Solution

The fourth proportional to 3,924.41, 5,888.90 and 1,460.97 is: 2,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.41 : 5,888.90 = 1,460.97 : x
  2. Step 2: Convert to fraction form
    3,924.41/5,888.90 = 1,460.97/x
  3. Step 3: Cross multiply
    3,924.41x = 5,888.90 × 1,460.97
  4. Step 4: Simplify right side
    3,924.41x = 8,603,509.89
  5. Step 5: Solve for x
    x = 8,603,509.89/3,924.41
  6. Step 6: Final answer
    x = 2,192.31

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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.