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Finding the Fourth Proportional to 5,423.98, 7,465.83 and 3,849.34

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Solution

The fourth proportional to 5,423.98, 7,465.83 and 3,849.34 is: 5,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.98 : 7,465.83 = 3,849.34 : x
  2. Step 2: Convert to fraction form
    5,423.98/7,465.83 = 3,849.34/x
  3. Step 3: Cross multiply
    5,423.98x = 7,465.83 × 3,849.34
  4. Step 4: Simplify right side
    5,423.98x = 28,738,518.05
  5. Step 5: Solve for x
    x = 28,738,518.05/5,423.98
  6. Step 6: Final answer
    x = 5,298.42

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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.