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Finding the Fourth Proportional to 5,324.58, 7,988.04 and 1,627.10

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Solution

The fourth proportional to 5,324.58, 7,988.04 and 1,627.10 is: 2,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.58 : 7,988.04 = 1,627.10 : x
  2. Step 2: Convert to fraction form
    5,324.58/7,988.04 = 1,627.10/x
  3. Step 3: Cross multiply
    5,324.58x = 7,988.04 × 1,627.10
  4. Step 4: Simplify right side
    5,324.58x = 12,997,299.94
  5. Step 5: Solve for x
    x = 12,997,299.94/5,324.58
  6. Step 6: Final answer
    x = 2,441.00

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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.