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Finding the Fourth Proportional to 4,760.60, 7,140.90 and 3,205.40

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Solution

The fourth proportional to 4,760.60, 7,140.90 and 3,205.40 is: 4,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.60 : 7,140.90 = 3,205.40 : x
  2. Step 2: Convert to fraction form
    4,760.60/7,140.90 = 3,205.40/x
  3. Step 3: Cross multiply
    4,760.60x = 7,140.90 × 3,205.40
  4. Step 4: Simplify right side
    4,760.60x = 22,889,440.86
  5. Step 5: Solve for x
    x = 22,889,440.86/4,760.60
  6. Step 6: Final answer
    x = 4,808.10

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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.