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Finding the Fourth Proportional to 4,667.74, 6,390.97 and 4,651.33

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Solution

The fourth proportional to 4,667.74, 6,390.97 and 4,651.33 is: 6,368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.74 : 6,390.97 = 4,651.33 : x
  2. Step 2: Convert to fraction form
    4,667.74/6,390.97 = 4,651.33/x
  3. Step 3: Cross multiply
    4,667.74x = 6,390.97 × 4,651.33
  4. Step 4: Simplify right side
    4,667.74x = 29,726,510.49
  5. Step 5: Solve for x
    x = 29,726,510.49/4,667.74
  6. Step 6: Final answer
    x = 6,368.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.