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Finding the Fourth Proportional to 4,582.75, 6,324.21 and 2,814.34

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Solution

The fourth proportional to 4,582.75, 6,324.21 and 2,814.34 is: 3,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.75 : 6,324.21 = 2,814.34 : x
  2. Step 2: Convert to fraction form
    4,582.75/6,324.21 = 2,814.34/x
  3. Step 3: Cross multiply
    4,582.75x = 6,324.21 × 2,814.34
  4. Step 4: Simplify right side
    4,582.75x = 17,798,477.17
  5. Step 5: Solve for x
    x = 17,798,477.17/4,582.75
  6. Step 6: Final answer
    x = 3,883.80

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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.