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Finding the Fourth Proportional to 5,784.36, 7,984.44 and 3,688.08

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Solution

The fourth proportional to 5,784.36, 7,984.44 and 3,688.08 is: 5,090.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.36 : 7,984.44 = 3,688.08 : x
  2. Step 2: Convert to fraction form
    5,784.36/7,984.44 = 3,688.08/x
  3. Step 3: Cross multiply
    5,784.36x = 7,984.44 × 3,688.08
  4. Step 4: Simplify right side
    5,784.36x = 29,447,253.48
  5. Step 5: Solve for x
    x = 29,447,253.48/5,784.36
  6. Step 6: Final answer
    x = 5,090.84

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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.