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Finding the Fourth Proportional to 3,575.47, 4,930.41 and 2,828.23

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Solution

The fourth proportional to 3,575.47, 4,930.41 and 2,828.23 is: 3,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.47 : 4,930.41 = 2,828.23 : x
  2. Step 2: Convert to fraction form
    3,575.47/4,930.41 = 2,828.23/x
  3. Step 3: Cross multiply
    3,575.47x = 4,930.41 × 2,828.23
  4. Step 4: Simplify right side
    3,575.47x = 13,944,333.47
  5. Step 5: Solve for x
    x = 13,944,333.47/3,575.47
  6. Step 6: Final answer
    x = 3,900.00

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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.