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Finding the Fourth Proportional to 8,392.34, 12,589.22 and 2,549.00

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Solution

The fourth proportional to 8,392.34, 12,589.22 and 2,549.00 is: 3,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,392.34 : 12,589.22 = 2,549.00 : x
  2. Step 2: Convert to fraction form
    8,392.34/12,589.22 = 2,549.00/x
  3. Step 3: Cross multiply
    8,392.34x = 12,589.22 × 2,549.00
  4. Step 4: Simplify right side
    8,392.34x = 32,089,959.63
  5. Step 5: Solve for x
    x = 32,089,959.63/8,392.34
  6. Step 6: Final answer
    x = 3,823.72

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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.