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Finding the Fourth Proportional to 4,364.16, 6,548.64 and 1,766.88

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Solution

The fourth proportional to 4,364.16, 6,548.64 and 1,766.88 is: 2,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.16 : 6,548.64 = 1,766.88 : x
  2. Step 2: Convert to fraction form
    4,364.16/6,548.64 = 1,766.88/x
  3. Step 3: Cross multiply
    4,364.16x = 6,548.64 × 1,766.88
  4. Step 4: Simplify right side
    4,364.16x = 11,570,661.04
  5. Step 5: Solve for x
    x = 11,570,661.04/4,364.16
  6. Step 6: Final answer
    x = 2,651.29

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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.