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Finding the Fourth Proportional to 4,174.60, 6,258.12 and 1,576.84

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Solution

The fourth proportional to 4,174.60, 6,258.12 and 1,576.84 is: 2,363.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.60 : 6,258.12 = 1,576.84 : x
  2. Step 2: Convert to fraction form
    4,174.60/6,258.12 = 1,576.84/x
  3. Step 3: Cross multiply
    4,174.60x = 6,258.12 × 1,576.84
  4. Step 4: Simplify right side
    4,174.60x = 9,868,053.94
  5. Step 5: Solve for x
    x = 9,868,053.94/4,174.60
  6. Step 6: Final answer
    x = 2,363.83

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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.