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Finding the Fourth Proportional to 5,619.64, 8,430 and 1,723.36

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Solution

The fourth proportional to 5,619.64, 8,430 and 1,723.36 is: 2,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.64 : 8,430 = 1,723.36 : x
  2. Step 2: Convert to fraction form
    5,619.64/8,430 = 1,723.36/x
  3. Step 3: Cross multiply
    5,619.64x = 8,430 × 1,723.36
  4. Step 4: Simplify right side
    5,619.64x = 14,527,924.80
  5. Step 5: Solve for x
    x = 14,527,924.80/5,619.64
  6. Step 6: Final answer
    x = 2,585.21

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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.