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Finding the Fourth Proportional to 3,153.60, 4,730.58 and 1,305.54

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Solution

The fourth proportional to 3,153.60, 4,730.58 and 1,305.54 is: 1,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.60 : 4,730.58 = 1,305.54 : x
  2. Step 2: Convert to fraction form
    3,153.60/4,730.58 = 1,305.54/x
  3. Step 3: Cross multiply
    3,153.60x = 4,730.58 × 1,305.54
  4. Step 4: Simplify right side
    3,153.60x = 6,175,961.41
  5. Step 5: Solve for x
    x = 6,175,961.41/3,153.60
  6. Step 6: Final answer
    x = 1,958.38

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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.