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Finding the Fourth Proportional to 3,783.60, 5,222.34 and 3,389.94

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Solution

The fourth proportional to 3,783.60, 5,222.34 and 3,389.94 is: 4,678.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.60 : 5,222.34 = 3,389.94 : x
  2. Step 2: Convert to fraction form
    3,783.60/5,222.34 = 3,389.94/x
  3. Step 3: Cross multiply
    3,783.60x = 5,222.34 × 3,389.94
  4. Step 4: Simplify right side
    3,783.60x = 17,703,419.26
  5. Step 5: Solve for x
    x = 17,703,419.26/3,783.60
  6. Step 6: Final answer
    x = 4,678.99

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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.