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Finding the Fourth Proportional to 4,274.17, 5,889.78 and 3,602.00

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Solution

The fourth proportional to 4,274.17, 5,889.78 and 3,602.00 is: 4,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.17 : 5,889.78 = 3,602.00 : x
  2. Step 2: Convert to fraction form
    4,274.17/5,889.78 = 3,602.00/x
  3. Step 3: Cross multiply
    4,274.17x = 5,889.78 × 3,602.00
  4. Step 4: Simplify right side
    4,274.17x = 21,215,002.28
  5. Step 5: Solve for x
    x = 21,215,002.28/4,274.17
  6. Step 6: Final answer
    x = 4,963.54

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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.