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Finding the Fourth Proportional to 4,512.90, 6,765.71 and 4,148.40

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Solution

The fourth proportional to 4,512.90, 6,765.71 and 4,148.40 is: 6,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.90 : 6,765.71 = 4,148.40 : x
  2. Step 2: Convert to fraction form
    4,512.90/6,765.71 = 4,148.40/x
  3. Step 3: Cross multiply
    4,512.90x = 6,765.71 × 4,148.40
  4. Step 4: Simplify right side
    4,512.90x = 28,066,850.62
  5. Step 5: Solve for x
    x = 28,066,850.62/4,512.90
  6. Step 6: Final answer
    x = 6,219.25

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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.