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Finding the Fourth Proportional to 4,783.77, 7,171.72 and 2,113.47

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Solution

The fourth proportional to 4,783.77, 7,171.72 and 2,113.47 is: 3,168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.77 : 7,171.72 = 2,113.47 : x
  2. Step 2: Convert to fraction form
    4,783.77/7,171.72 = 2,113.47/x
  3. Step 3: Cross multiply
    4,783.77x = 7,171.72 × 2,113.47
  4. Step 4: Simplify right side
    4,783.77x = 15,157,209.78
  5. Step 5: Solve for x
    x = 15,157,209.78/4,783.77
  6. Step 6: Final answer
    x = 3,168.47

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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.