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Finding the Fourth Proportional to 3,424.71, 4,726.06 and 1,852.80

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Solution

The fourth proportional to 3,424.71, 4,726.06 and 1,852.80 is: 2,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.71 : 4,726.06 = 1,852.80 : x
  2. Step 2: Convert to fraction form
    3,424.71/4,726.06 = 1,852.80/x
  3. Step 3: Cross multiply
    3,424.71x = 4,726.06 × 1,852.80
  4. Step 4: Simplify right side
    3,424.71x = 8,756,443.97
  5. Step 5: Solve for x
    x = 8,756,443.97/3,424.71
  6. Step 6: Final answer
    x = 2,556.84

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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.