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Finding the Fourth Proportional to 5,765.19, 7,954.70 and 3,406.11

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Solution

The fourth proportional to 5,765.19, 7,954.70 and 3,406.11 is: 4,699.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.19 : 7,954.70 = 3,406.11 : x
  2. Step 2: Convert to fraction form
    5,765.19/7,954.70 = 3,406.11/x
  3. Step 3: Cross multiply
    5,765.19x = 7,954.70 × 3,406.11
  4. Step 4: Simplify right side
    5,765.19x = 27,094,566.19
  5. Step 5: Solve for x
    x = 27,094,566.19/5,765.19
  6. Step 6: Final answer
    x = 4,699.68

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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.