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Finding the Fourth Proportional to 5,423.70, 7,484.67 and 3,065.84

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Solution

The fourth proportional to 5,423.70, 7,484.67 and 3,065.84 is: 4,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,423.70 : 7,484.67 = 3,065.84 : x
  2. Step 2: Convert to fraction form
    5,423.70/7,484.67 = 3,065.84/x
  3. Step 3: Cross multiply
    5,423.70x = 7,484.67 × 3,065.84
  4. Step 4: Simplify right side
    5,423.70x = 22,946,763.25
  5. Step 5: Solve for x
    x = 22,946,763.25/5,423.70
  6. Step 6: Final answer
    x = 4,230.83

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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.