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Finding the Fourth Proportional to 5,619.71, 8,431.26 and 1,671.10

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Solution

The fourth proportional to 5,619.71, 8,431.26 and 1,671.10 is: 2,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.71 : 8,431.26 = 1,671.10 : x
  2. Step 2: Convert to fraction form
    5,619.71/8,431.26 = 1,671.10/x
  3. Step 3: Cross multiply
    5,619.71x = 8,431.26 × 1,671.10
  4. Step 4: Simplify right side
    5,619.71x = 14,089,451.24
  5. Step 5: Solve for x
    x = 14,089,451.24/5,619.71
  6. Step 6: Final answer
    x = 2,507.15

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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.