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Finding the Fourth Proportional to 5,849.33, 8,072.04 and 3,460.16

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Solution

The fourth proportional to 5,849.33, 8,072.04 and 3,460.16 is: 4,775.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.33 : 8,072.04 = 3,460.16 : x
  2. Step 2: Convert to fraction form
    5,849.33/8,072.04 = 3,460.16/x
  3. Step 3: Cross multiply
    5,849.33x = 8,072.04 × 3,460.16
  4. Step 4: Simplify right side
    5,849.33x = 27,930,509.57
  5. Step 5: Solve for x
    x = 27,930,509.57/5,849.33
  6. Step 6: Final answer
    x = 4,775.00

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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.