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Finding the Fourth Proportional to 4,713.63, 6,504.80 and 2,589.22

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Solution

The fourth proportional to 4,713.63, 6,504.80 and 2,589.22 is: 3,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.63 : 6,504.80 = 2,589.22 : x
  2. Step 2: Convert to fraction form
    4,713.63/6,504.80 = 2,589.22/x
  3. Step 3: Cross multiply
    4,713.63x = 6,504.80 × 2,589.22
  4. Step 4: Simplify right side
    4,713.63x = 16,842,335.06
  5. Step 5: Solve for x
    x = 16,842,335.06/4,713.63
  6. Step 6: Final answer
    x = 3,573.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.