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Finding the Fourth Proportional to 4,735.80, 7,103.70 and 2,103.30

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Solution

The fourth proportional to 4,735.80, 7,103.70 and 2,103.30 is: 3,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.80 : 7,103.70 = 2,103.30 : x
  2. Step 2: Convert to fraction form
    4,735.80/7,103.70 = 2,103.30/x
  3. Step 3: Cross multiply
    4,735.80x = 7,103.70 × 2,103.30
  4. Step 4: Simplify right side
    4,735.80x = 14,941,212.21
  5. Step 5: Solve for x
    x = 14,941,212.21/4,735.80
  6. Step 6: Final answer
    x = 3,154.95

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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.