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Finding the Fourth Proportional to 5,404.69, 7,457.81 and 3,166.05

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Solution

The fourth proportional to 5,404.69, 7,457.81 and 3,166.05 is: 4,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.69 : 7,457.81 = 3,166.05 : x
  2. Step 2: Convert to fraction form
    5,404.69/7,457.81 = 3,166.05/x
  3. Step 3: Cross multiply
    5,404.69x = 7,457.81 × 3,166.05
  4. Step 4: Simplify right side
    5,404.69x = 23,611,783.52
  5. Step 5: Solve for x
    x = 23,611,783.52/5,404.69
  6. Step 6: Final answer
    x = 4,368.76

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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.