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Finding the Fourth Proportional to 5,780.84, 8,672.64 and 1,885.25

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Solution

The fourth proportional to 5,780.84, 8,672.64 and 1,885.25 is: 2,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.84 : 8,672.64 = 1,885.25 : x
  2. Step 2: Convert to fraction form
    5,780.84/8,672.64 = 1,885.25/x
  3. Step 3: Cross multiply
    5,780.84x = 8,672.64 × 1,885.25
  4. Step 4: Simplify right side
    5,780.84x = 16,350,094.56
  5. Step 5: Solve for x
    x = 16,350,094.56/5,780.84
  6. Step 6: Final answer
    x = 2,828.33

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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.