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Finding the Fourth Proportional to 5,406.81, 7,460.54 and 3,016.67

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Solution

The fourth proportional to 5,406.81, 7,460.54 and 3,016.67 is: 4,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.81 : 7,460.54 = 3,016.67 : x
  2. Step 2: Convert to fraction form
    5,406.81/7,460.54 = 3,016.67/x
  3. Step 3: Cross multiply
    5,406.81x = 7,460.54 × 3,016.67
  4. Step 4: Simplify right side
    5,406.81x = 22,505,934.82
  5. Step 5: Solve for x
    x = 22,505,934.82/5,406.81
  6. Step 6: Final answer
    x = 4,162.52

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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.