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Finding the Fourth Proportional to 3,783.59, 5,676.34 and 1,318.45

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Solution

The fourth proportional to 3,783.59, 5,676.34 and 1,318.45 is: 1,978.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.59 : 5,676.34 = 1,318.45 : x
  2. Step 2: Convert to fraction form
    3,783.59/5,676.34 = 1,318.45/x
  3. Step 3: Cross multiply
    3,783.59x = 5,676.34 × 1,318.45
  4. Step 4: Simplify right side
    3,783.59x = 7,483,970.47
  5. Step 5: Solve for x
    x = 7,483,970.47/3,783.59
  6. Step 6: Final answer
    x = 1,978.01

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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.