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Finding the Fourth Proportional to 4,533.33, 6,785.73 and 3,119.47

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Solution

The fourth proportional to 4,533.33, 6,785.73 and 3,119.47 is: 4,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.33 : 6,785.73 = 3,119.47 : x
  2. Step 2: Convert to fraction form
    4,533.33/6,785.73 = 3,119.47/x
  3. Step 3: Cross multiply
    4,533.33x = 6,785.73 × 3,119.47
  4. Step 4: Simplify right side
    4,533.33x = 21,167,881.16
  5. Step 5: Solve for x
    x = 21,167,881.16/4,533.33
  6. Step 6: Final answer
    x = 4,669.39

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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.