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Finding the Fourth Proportional to 4,242.54, 5,857.62 and 3,246.08

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Solution

The fourth proportional to 4,242.54, 5,857.62 and 3,246.08 is: 4,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.54 : 5,857.62 = 3,246.08 : x
  2. Step 2: Convert to fraction form
    4,242.54/5,857.62 = 3,246.08/x
  3. Step 3: Cross multiply
    4,242.54x = 5,857.62 × 3,246.08
  4. Step 4: Simplify right side
    4,242.54x = 19,014,303.13
  5. Step 5: Solve for x
    x = 19,014,303.13/4,242.54
  6. Step 6: Final answer
    x = 4,481.82

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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.