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Finding the Fourth Proportional to 4,745.71, 7,122.94 and 2,407.36

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Solution

The fourth proportional to 4,745.71, 7,122.94 and 2,407.36 is: 3,613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.71 : 7,122.94 = 2,407.36 : x
  2. Step 2: Convert to fraction form
    4,745.71/7,122.94 = 2,407.36/x
  3. Step 3: Cross multiply
    4,745.71x = 7,122.94 × 2,407.36
  4. Step 4: Simplify right side
    4,745.71x = 17,147,480.84
  5. Step 5: Solve for x
    x = 17,147,480.84/4,745.71
  6. Step 6: Final answer
    x = 3,613.26

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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.