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Finding the Fourth Proportional to 4,094.40, 5,656.80 and 3,783.36

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Solution

The fourth proportional to 4,094.40, 5,656.80 and 3,783.36 is: 5,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.40 : 5,656.80 = 3,783.36 : x
  2. Step 2: Convert to fraction form
    4,094.40/5,656.80 = 3,783.36/x
  3. Step 3: Cross multiply
    4,094.40x = 5,656.80 × 3,783.36
  4. Step 4: Simplify right side
    4,094.40x = 21,401,710.85
  5. Step 5: Solve for x
    x = 21,401,710.85/4,094.40
  6. Step 6: Final answer
    x = 5,227.07

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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.