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Finding the Fourth Proportional to 3,407.88, 4,698.36 and 2,228.52

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Solution

The fourth proportional to 3,407.88, 4,698.36 and 2,228.52 is: 3,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.88 : 4,698.36 = 2,228.52 : x
  2. Step 2: Convert to fraction form
    3,407.88/4,698.36 = 2,228.52/x
  3. Step 3: Cross multiply
    3,407.88x = 4,698.36 × 2,228.52
  4. Step 4: Simplify right side
    3,407.88x = 10,470,389.23
  5. Step 5: Solve for x
    x = 10,470,389.23/3,407.88
  6. Step 6: Final answer
    x = 3,072.41

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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.