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Finding the Fourth Proportional to 4,673.54, 6,446.63 and 2,783.87

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Solution

The fourth proportional to 4,673.54, 6,446.63 and 2,783.87 is: 3,840.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.54 : 6,446.63 = 2,783.87 : x
  2. Step 2: Convert to fraction form
    4,673.54/6,446.63 = 2,783.87/x
  3. Step 3: Cross multiply
    4,673.54x = 6,446.63 × 2,783.87
  4. Step 4: Simplify right side
    4,673.54x = 17,946,565.94
  5. Step 5: Solve for x
    x = 17,946,565.94/4,673.54
  6. Step 6: Final answer
    x = 3,840.04

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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.