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Finding the Fourth Proportional to 5,190.01, 7,785.05 and 4,274.29

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Solution

The fourth proportional to 5,190.01, 7,785.05 and 4,274.29 is: 6,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.01 : 7,785.05 = 4,274.29 : x
  2. Step 2: Convert to fraction form
    5,190.01/7,785.05 = 4,274.29/x
  3. Step 3: Cross multiply
    5,190.01x = 7,785.05 × 4,274.29
  4. Step 4: Simplify right side
    5,190.01x = 33,275,561.36
  5. Step 5: Solve for x
    x = 33,275,561.36/5,190.01
  6. Step 6: Final answer
    x = 6,411.46

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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.