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Finding the Fourth Proportional to 5,948.35, 8,209.01 and 3,295.77

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Solution

The fourth proportional to 5,948.35, 8,209.01 and 3,295.77 is: 4,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.35 : 8,209.01 = 3,295.77 : x
  2. Step 2: Convert to fraction form
    5,948.35/8,209.01 = 3,295.77/x
  3. Step 3: Cross multiply
    5,948.35x = 8,209.01 × 3,295.77
  4. Step 4: Simplify right side
    5,948.35x = 27,054,986.34
  5. Step 5: Solve for x
    x = 27,054,986.34/5,948.35
  6. Step 6: Final answer
    x = 4,548.32

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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.