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Finding the Fourth Proportional to 5,627.68, 8,441.69 and 1,732.10

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Solution

The fourth proportional to 5,627.68, 8,441.69 and 1,732.10 is: 2,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.68 : 8,441.69 = 1,732.10 : x
  2. Step 2: Convert to fraction form
    5,627.68/8,441.69 = 1,732.10/x
  3. Step 3: Cross multiply
    5,627.68x = 8,441.69 × 1,732.10
  4. Step 4: Simplify right side
    5,627.68x = 14,621,800.38
  5. Step 5: Solve for x
    x = 14,621,800.38/5,627.68
  6. Step 6: Final answer
    x = 2,598.19

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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.