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Finding the Fourth Proportional to 4,216.96, 6,312.12 and 3,596.32

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Solution

The fourth proportional to 4,216.96, 6,312.12 and 3,596.32 is: 5,383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.96 : 6,312.12 = 3,596.32 : x
  2. Step 2: Convert to fraction form
    4,216.96/6,312.12 = 3,596.32/x
  3. Step 3: Cross multiply
    4,216.96x = 6,312.12 × 3,596.32
  4. Step 4: Simplify right side
    4,216.96x = 22,700,403.40
  5. Step 5: Solve for x
    x = 22,700,403.40/4,216.96
  6. Step 6: Final answer
    x = 5,383.12

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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.