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Finding the Fourth Proportional to 5,537.40, 8,306.10 and 4,889.40

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Solution

The fourth proportional to 5,537.40, 8,306.10 and 4,889.40 is: 7,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.40 : 8,306.10 = 4,889.40 : x
  2. Step 2: Convert to fraction form
    5,537.40/8,306.10 = 4,889.40/x
  3. Step 3: Cross multiply
    5,537.40x = 8,306.10 × 4,889.40
  4. Step 4: Simplify right side
    5,537.40x = 40,611,845.34
  5. Step 5: Solve for x
    x = 40,611,845.34/5,537.40
  6. Step 6: Final answer
    x = 7,334.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.