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Finding the Fourth Proportional to 4,078.69, 6,114.65 and 1,578.60

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Solution

The fourth proportional to 4,078.69, 6,114.65 and 1,578.60 is: 2,366.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078.69 : 6,114.65 = 1,578.60 : x
  2. Step 2: Convert to fraction form
    4,078.69/6,114.65 = 1,578.60/x
  3. Step 3: Cross multiply
    4,078.69x = 6,114.65 × 1,578.60
  4. Step 4: Simplify right side
    4,078.69x = 9,652,598.30
  5. Step 5: Solve for x
    x = 9,652,598.30/4,078.69
  6. Step 6: Final answer
    x = 2,366.59

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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.