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Finding the Fourth Proportional to 4,636.16, 6,400.32 and 3,927.68

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Solution

The fourth proportional to 4,636.16, 6,400.32 and 3,927.68 is: 5,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.16 : 6,400.32 = 3,927.68 : x
  2. Step 2: Convert to fraction form
    4,636.16/6,400.32 = 3,927.68/x
  3. Step 3: Cross multiply
    4,636.16x = 6,400.32 × 3,927.68
  4. Step 4: Simplify right side
    4,636.16x = 25,138,408.86
  5. Step 5: Solve for x
    x = 25,138,408.86/4,636.16
  6. Step 6: Final answer
    x = 5,422.25

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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.