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Finding the Fourth Proportional to 3,364.86, 4,643.64 and 1,872.72

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Solution

The fourth proportional to 3,364.86, 4,643.64 and 1,872.72 is: 2,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.86 : 4,643.64 = 1,872.72 : x
  2. Step 2: Convert to fraction form
    3,364.86/4,643.64 = 1,872.72/x
  3. Step 3: Cross multiply
    3,364.86x = 4,643.64 × 1,872.72
  4. Step 4: Simplify right side
    3,364.86x = 8,696,237.50
  5. Step 5: Solve for x
    x = 8,696,237.50/3,364.86
  6. Step 6: Final answer
    x = 2,584.43

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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.