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Finding the Fourth Proportional to 4,172.54, 5,760.41 and 2,848.19

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Solution

The fourth proportional to 4,172.54, 5,760.41 and 2,848.19 is: 3,932.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.54 : 5,760.41 = 2,848.19 : x
  2. Step 2: Convert to fraction form
    4,172.54/5,760.41 = 2,848.19/x
  3. Step 3: Cross multiply
    4,172.54x = 5,760.41 × 2,848.19
  4. Step 4: Simplify right side
    4,172.54x = 16,406,699.11
  5. Step 5: Solve for x
    x = 16,406,699.11/4,172.54
  6. Step 6: Final answer
    x = 3,932.07

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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.