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Finding the Fourth Proportional to 5,648.01, 7,794.51 and 3,409.83

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Solution

The fourth proportional to 5,648.01, 7,794.51 and 3,409.83 is: 4,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.01 : 7,794.51 = 3,409.83 : x
  2. Step 2: Convert to fraction form
    5,648.01/7,794.51 = 3,409.83/x
  3. Step 3: Cross multiply
    5,648.01x = 7,794.51 × 3,409.83
  4. Step 4: Simplify right side
    5,648.01x = 26,577,954.03
  5. Step 5: Solve for x
    x = 26,577,954.03/5,648.01
  6. Step 6: Final answer
    x = 4,705.72

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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.