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Finding the Fourth Proportional to 4,671.46, 7,007.62 and 2,205.60

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Solution

The fourth proportional to 4,671.46, 7,007.62 and 2,205.60 is: 3,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.46 : 7,007.62 = 2,205.60 : x
  2. Step 2: Convert to fraction form
    4,671.46/7,007.62 = 2,205.60/x
  3. Step 3: Cross multiply
    4,671.46x = 7,007.62 × 2,205.60
  4. Step 4: Simplify right side
    4,671.46x = 15,456,006.67
  5. Step 5: Solve for x
    x = 15,456,006.67/4,671.46
  6. Step 6: Final answer
    x = 3,308.60

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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.