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Finding the Fourth Proportional to 6,036.36, 8,330.94 and 3,678.48

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Solution

The fourth proportional to 6,036.36, 8,330.94 and 3,678.48 is: 5,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.36 : 8,330.94 = 3,678.48 : x
  2. Step 2: Convert to fraction form
    6,036.36/8,330.94 = 3,678.48/x
  3. Step 3: Cross multiply
    6,036.36x = 8,330.94 × 3,678.48
  4. Step 4: Simplify right side
    6,036.36x = 30,645,196.17
  5. Step 5: Solve for x
    x = 30,645,196.17/6,036.36
  6. Step 6: Final answer
    x = 5,076.77

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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.