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Finding the Fourth Proportional to 4,235.76, 6,352.07 and 2,155.05

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Solution

The fourth proportional to 4,235.76, 6,352.07 and 2,155.05 is: 3,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.76 : 6,352.07 = 2,155.05 : x
  2. Step 2: Convert to fraction form
    4,235.76/6,352.07 = 2,155.05/x
  3. Step 3: Cross multiply
    4,235.76x = 6,352.07 × 2,155.05
  4. Step 4: Simplify right side
    4,235.76x = 13,689,017.68
  5. Step 5: Solve for x
    x = 13,689,017.68/4,235.76
  6. Step 6: Final answer
    x = 3,231.77

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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.