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Finding the Fourth Proportional to 4,672.86, 6,448.50 and 2,684.04

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Solution

The fourth proportional to 4,672.86, 6,448.50 and 2,684.04 is: 3,703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.86 : 6,448.50 = 2,684.04 : x
  2. Step 2: Convert to fraction form
    4,672.86/6,448.50 = 2,684.04/x
  3. Step 3: Cross multiply
    4,672.86x = 6,448.50 × 2,684.04
  4. Step 4: Simplify right side
    4,672.86x = 17,308,031.94
  5. Step 5: Solve for x
    x = 17,308,031.94/4,672.86
  6. Step 6: Final answer
    x = 3,703.95

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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.