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Finding the Fourth Proportional to 5,973.50, 8,902.38 and 5,662.46

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Solution

The fourth proportional to 5,973.50, 8,902.38 and 5,662.46 is: 8,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.50 : 8,902.38 = 5,662.46 : x
  2. Step 2: Convert to fraction form
    5,973.50/8,902.38 = 5,662.46/x
  3. Step 3: Cross multiply
    5,973.50x = 8,902.38 × 5,662.46
  4. Step 4: Simplify right side
    5,973.50x = 50,409,342.34
  5. Step 5: Solve for x
    x = 50,409,342.34/5,973.50
  6. Step 6: Final answer
    x = 8,438.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.