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Finding the Fourth Proportional to 6,055.17, 8,359.14 and 3,820.50

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Solution

The fourth proportional to 6,055.17, 8,359.14 and 3,820.50 is: 5,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.17 : 8,359.14 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    6,055.17/8,359.14 = 3,820.50/x
  3. Step 3: Cross multiply
    6,055.17x = 8,359.14 × 3,820.50
  4. Step 4: Simplify right side
    6,055.17x = 31,936,094.37
  5. Step 5: Solve for x
    x = 31,936,094.37/6,055.17
  6. Step 6: Final answer
    x = 5,274.19

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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.