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Finding the Fourth Proportional to 4,078.84, 6,114.79 and 1,615.39

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Solution

The fourth proportional to 4,078.84, 6,114.79 and 1,615.39 is: 2,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.84 : 6,114.79 = 1,615.39 : x
  2. Step 2: Convert to fraction form
    4,078.84/6,114.79 = 1,615.39/x
  3. Step 3: Cross multiply
    4,078.84x = 6,114.79 × 1,615.39
  4. Step 4: Simplify right side
    4,078.84x = 9,877,770.62
  5. Step 5: Solve for x
    x = 9,877,770.62/4,078.84
  6. Step 6: Final answer
    x = 2,421.71

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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.