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Finding the Fourth Proportional to 4,720.74, 6,514.67 and 2,596.22

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Solution

The fourth proportional to 4,720.74, 6,514.67 and 2,596.22 is: 3,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.74 : 6,514.67 = 2,596.22 : x
  2. Step 2: Convert to fraction form
    4,720.74/6,514.67 = 2,596.22/x
  3. Step 3: Cross multiply
    4,720.74x = 6,514.67 × 2,596.22
  4. Step 4: Simplify right side
    4,720.74x = 16,913,470.99
  5. Step 5: Solve for x
    x = 16,913,470.99/4,720.74
  6. Step 6: Final answer
    x = 3,582.80

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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.