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Finding the Fourth Proportional to 5,219.15, 7,828.94 and 1,323.66

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Solution

The fourth proportional to 5,219.15, 7,828.94 and 1,323.66 is: 1,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.15 : 7,828.94 = 1,323.66 : x
  2. Step 2: Convert to fraction form
    5,219.15/7,828.94 = 1,323.66/x
  3. Step 3: Cross multiply
    5,219.15x = 7,828.94 × 1,323.66
  4. Step 4: Simplify right side
    5,219.15x = 10,362,848.10
  5. Step 5: Solve for x
    x = 10,362,848.10/5,219.15
  6. Step 6: Final answer
    x = 1,985.54

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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.