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Finding the Fourth Proportional to 4,671.96, 6,446.16 and 2,782.33

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Solution

The fourth proportional to 4,671.96, 6,446.16 and 2,782.33 is: 3,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.96 : 6,446.16 = 2,782.33 : x
  2. Step 2: Convert to fraction form
    4,671.96/6,446.16 = 2,782.33/x
  3. Step 3: Cross multiply
    4,671.96x = 6,446.16 × 2,782.33
  4. Step 4: Simplify right side
    4,671.96x = 17,935,344.35
  5. Step 5: Solve for x
    x = 17,935,344.35/4,671.96
  6. Step 6: Final answer
    x = 3,838.93

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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.