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Finding the Fourth Proportional to 5,219.52, 7,829.31 and 1,323.93

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Solution

The fourth proportional to 5,219.52, 7,829.31 and 1,323.93 is: 1,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.52 : 7,829.31 = 1,323.93 : x
  2. Step 2: Convert to fraction form
    5,219.52/7,829.31 = 1,323.93/x
  3. Step 3: Cross multiply
    5,219.52x = 7,829.31 × 1,323.93
  4. Step 4: Simplify right side
    5,219.52x = 10,365,458.39
  5. Step 5: Solve for x
    x = 10,365,458.39/5,219.52
  6. Step 6: Final answer
    x = 1,985.90

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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.