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Finding the Fourth Proportional to 5,115.67, 7,671.02 and 1,783.84

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Solution

The fourth proportional to 5,115.67, 7,671.02 and 1,783.84 is: 2,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.67 : 7,671.02 = 1,783.84 : x
  2. Step 2: Convert to fraction form
    5,115.67/7,671.02 = 1,783.84/x
  3. Step 3: Cross multiply
    5,115.67x = 7,671.02 × 1,783.84
  4. Step 4: Simplify right side
    5,115.67x = 13,683,872.32
  5. Step 5: Solve for x
    x = 13,683,872.32/5,115.67
  6. Step 6: Final answer
    x = 2,674.89

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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.