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Finding the Fourth Proportional to 5,355.72, 8,032.77 and 1,460.43

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Solution

The fourth proportional to 5,355.72, 8,032.77 and 1,460.43 is: 2,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.72 : 8,032.77 = 1,460.43 : x
  2. Step 2: Convert to fraction form
    5,355.72/8,032.77 = 1,460.43/x
  3. Step 3: Cross multiply
    5,355.72x = 8,032.77 × 1,460.43
  4. Step 4: Simplify right side
    5,355.72x = 11,731,298.29
  5. Step 5: Solve for x
    x = 11,731,298.29/5,355.72
  6. Step 6: Final answer
    x = 2,190.42

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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.