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Finding the Fourth Proportional to 4,671.30, 7,003.26 and 3,206.10

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Solution

The fourth proportional to 4,671.30, 7,003.26 and 3,206.10 is: 4,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.30 : 7,003.26 = 3,206.10 : x
  2. Step 2: Convert to fraction form
    4,671.30/7,003.26 = 3,206.10/x
  3. Step 3: Cross multiply
    4,671.30x = 7,003.26 × 3,206.10
  4. Step 4: Simplify right side
    4,671.30x = 22,453,151.89
  5. Step 5: Solve for x
    x = 22,453,151.89/4,671.30
  6. Step 6: Final answer
    x = 4,806.62

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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.