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Finding the Fourth Proportional to 4,237.84, 6,356.72 and 1,638.96

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Solution

The fourth proportional to 4,237.84, 6,356.72 and 1,638.96 is: 2,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.84 : 6,356.72 = 1,638.96 : x
  2. Step 2: Convert to fraction form
    4,237.84/6,356.72 = 1,638.96/x
  3. Step 3: Cross multiply
    4,237.84x = 6,356.72 × 1,638.96
  4. Step 4: Simplify right side
    4,237.84x = 10,418,409.81
  5. Step 5: Solve for x
    x = 10,418,409.81/4,237.84
  6. Step 6: Final answer
    x = 2,458.42

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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.