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Finding the Fourth Proportional to 3,156.77, 4,734.69 and 1,076.84

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Solution

The fourth proportional to 3,156.77, 4,734.69 and 1,076.84 is: 1,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.77 : 4,734.69 = 1,076.84 : x
  2. Step 2: Convert to fraction form
    3,156.77/4,734.69 = 1,076.84/x
  3. Step 3: Cross multiply
    3,156.77x = 4,734.69 × 1,076.84
  4. Step 4: Simplify right side
    3,156.77x = 5,098,503.58
  5. Step 5: Solve for x
    x = 5,098,503.58/3,156.77
  6. Step 6: Final answer
    x = 1,615.10

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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.