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Finding the Fourth Proportional to 5,289.36, 7,298.80 and 3,164.46

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Solution

The fourth proportional to 5,289.36, 7,298.80 and 3,164.46 is: 4,366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.36 : 7,298.80 = 3,164.46 : x
  2. Step 2: Convert to fraction form
    5,289.36/7,298.80 = 3,164.46/x
  3. Step 3: Cross multiply
    5,289.36x = 7,298.80 × 3,164.46
  4. Step 4: Simplify right side
    5,289.36x = 23,096,725.37
  5. Step 5: Solve for x
    x = 23,096,725.37/5,289.36
  6. Step 6: Final answer
    x = 4,366.64

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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.