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Finding the Fourth Proportional to 3,775.74, 5,205.96 and 2,358.96

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Solution

The fourth proportional to 3,775.74, 5,205.96 and 2,358.96 is: 3,252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.74 : 5,205.96 = 2,358.96 : x
  2. Step 2: Convert to fraction form
    3,775.74/5,205.96 = 2,358.96/x
  3. Step 3: Cross multiply
    3,775.74x = 5,205.96 × 2,358.96
  4. Step 4: Simplify right side
    3,775.74x = 12,280,651.40
  5. Step 5: Solve for x
    x = 12,280,651.40/3,775.74
  6. Step 6: Final answer
    x = 3,252.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.