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Finding the Fourth Proportional to 5,579.64, 8,370 and 1,683.36

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Solution

The fourth proportional to 5,579.64, 8,370 and 1,683.36 is: 2,525.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.64 : 8,370 = 1,683.36 : x
  2. Step 2: Convert to fraction form
    5,579.64/8,370 = 1,683.36/x
  3. Step 3: Cross multiply
    5,579.64x = 8,370 × 1,683.36
  4. Step 4: Simplify right side
    5,579.64x = 14,089,723.20
  5. Step 5: Solve for x
    x = 14,089,723.20/5,579.64
  6. Step 6: Final answer
    x = 2,525.20

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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.