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Finding the Fourth Proportional to 5,719.36, 8,580.64 and 3,775.36

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Solution

The fourth proportional to 5,719.36, 8,580.64 and 3,775.36 is: 5,664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.36 : 8,580.64 = 3,775.36 : x
  2. Step 2: Convert to fraction form
    5,719.36/8,580.64 = 3,775.36/x
  3. Step 3: Cross multiply
    5,719.36x = 8,580.64 × 3,775.36
  4. Step 4: Simplify right side
    5,719.36x = 32,395,005.03
  5. Step 5: Solve for x
    x = 32,395,005.03/5,719.36
  6. Step 6: Final answer
    x = 5,664.10

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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.