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Finding the Fourth Proportional to 4,175.69, 6,258.06 and 2,327.67

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Solution

The fourth proportional to 4,175.69, 6,258.06 and 2,327.67 is: 3,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175.69 : 6,258.06 = 2,327.67 : x
  2. Step 2: Convert to fraction form
    4,175.69/6,258.06 = 2,327.67/x
  3. Step 3: Cross multiply
    4,175.69x = 6,258.06 × 2,327.67
  4. Step 4: Simplify right side
    4,175.69x = 14,566,698.52
  5. Step 5: Solve for x
    x = 14,566,698.52/4,175.69
  6. Step 6: Final answer
    x = 3,488.45

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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.