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Finding the Fourth Proportional to 4,295.96, 6,435.40 and 2,830.67

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Solution

The fourth proportional to 4,295.96, 6,435.40 and 2,830.67 is: 4,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.96 : 6,435.40 = 2,830.67 : x
  2. Step 2: Convert to fraction form
    4,295.96/6,435.40 = 2,830.67/x
  3. Step 3: Cross multiply
    4,295.96x = 6,435.40 × 2,830.67
  4. Step 4: Simplify right side
    4,295.96x = 18,216,493.72
  5. Step 5: Solve for x
    x = 18,216,493.72/4,295.96
  6. Step 6: Final answer
    x = 4,240.38

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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.