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Finding the Fourth Proportional to 5,784.78, 7,982.98 and 3,132.16

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Solution

The fourth proportional to 5,784.78, 7,982.98 and 3,132.16 is: 4,322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.78 : 7,982.98 = 3,132.16 : x
  2. Step 2: Convert to fraction form
    5,784.78/7,982.98 = 3,132.16/x
  3. Step 3: Cross multiply
    5,784.78x = 7,982.98 × 3,132.16
  4. Step 4: Simplify right side
    5,784.78x = 25,003,970.64
  5. Step 5: Solve for x
    x = 25,003,970.64/5,784.78
  6. Step 6: Final answer
    x = 4,322.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.