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Finding the Fourth Proportional to 4,720.88, 6,514.90 and 2,596.59

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Solution

The fourth proportional to 4,720.88, 6,514.90 and 2,596.59 is: 3,583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.88 : 6,514.90 = 2,596.59 : x
  2. Step 2: Convert to fraction form
    4,720.88/6,514.90 = 2,596.59/x
  3. Step 3: Cross multiply
    4,720.88x = 6,514.90 × 2,596.59
  4. Step 4: Simplify right side
    4,720.88x = 16,916,517.70
  5. Step 5: Solve for x
    x = 16,916,517.70/4,720.88
  6. Step 6: Final answer
    x = 3,583.34

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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.