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Finding the Fourth Proportional to 5,948.36, 8,208.80 and 3,259.65

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Solution

The fourth proportional to 5,948.36, 8,208.80 and 3,259.65 is: 4,498.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.36 : 8,208.80 = 3,259.65 : x
  2. Step 2: Convert to fraction form
    5,948.36/8,208.80 = 3,259.65/x
  3. Step 3: Cross multiply
    5,948.36x = 8,208.80 × 3,259.65
  4. Step 4: Simplify right side
    5,948.36x = 26,757,823.07
  5. Step 5: Solve for x
    x = 26,757,823.07/5,948.36
  6. Step 6: Final answer
    x = 4,498.36

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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.