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Finding the Fourth Proportional to 5,218.78, 7,828.15 and 1,323.18

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Solution

The fourth proportional to 5,218.78, 7,828.15 and 1,323.18 is: 1,984.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.78 : 7,828.15 = 1,323.18 : x
  2. Step 2: Convert to fraction form
    5,218.78/7,828.15 = 1,323.18/x
  3. Step 3: Cross multiply
    5,218.78x = 7,828.15 × 1,323.18
  4. Step 4: Simplify right side
    5,218.78x = 10,358,051.52
  5. Step 5: Solve for x
    x = 10,358,051.52/5,218.78
  6. Step 6: Final answer
    x = 1,984.76

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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.