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Finding the Fourth Proportional to 3,156.66, 4,735.80 and 1,209.03

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Solution

The fourth proportional to 3,156.66, 4,735.80 and 1,209.03 is: 1,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.66 : 4,735.80 = 1,209.03 : x
  2. Step 2: Convert to fraction form
    3,156.66/4,735.80 = 1,209.03/x
  3. Step 3: Cross multiply
    3,156.66x = 4,735.80 × 1,209.03
  4. Step 4: Simplify right side
    3,156.66x = 5,725,724.27
  5. Step 5: Solve for x
    x = 5,725,724.27/3,156.66
  6. Step 6: Final answer
    x = 1,813.86

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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.