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Finding the Fourth Proportional to 4,575.54, 6,851.14 and 3,644.84

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Solution

The fourth proportional to 4,575.54, 6,851.14 and 3,644.84 is: 5,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.54 : 6,851.14 = 3,644.84 : x
  2. Step 2: Convert to fraction form
    4,575.54/6,851.14 = 3,644.84/x
  3. Step 3: Cross multiply
    4,575.54x = 6,851.14 × 3,644.84
  4. Step 4: Simplify right side
    4,575.54x = 24,971,309.12
  5. Step 5: Solve for x
    x = 24,971,309.12/4,575.54
  6. Step 6: Final answer
    x = 5,457.57

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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.