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Finding the Fourth Proportional to 5,405.83, 7,460.13 and 3,309.96

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Solution

The fourth proportional to 5,405.83, 7,460.13 and 3,309.96 is: 4,567.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.83 : 7,460.13 = 3,309.96 : x
  2. Step 2: Convert to fraction form
    5,405.83/7,460.13 = 3,309.96/x
  3. Step 3: Cross multiply
    5,405.83x = 7,460.13 × 3,309.96
  4. Step 4: Simplify right side
    5,405.83x = 24,692,678.04
  5. Step 5: Solve for x
    x = 24,692,678.04/5,405.83
  6. Step 6: Final answer
    x = 4,567.79

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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.