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Finding the Fourth Proportional to 4,613.64, 6,893.72 and 3,782.58

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Solution

The fourth proportional to 4,613.64, 6,893.72 and 3,782.58 is: 5,651.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.64 : 6,893.72 = 3,782.58 : x
  2. Step 2: Convert to fraction form
    4,613.64/6,893.72 = 3,782.58/x
  3. Step 3: Cross multiply
    4,613.64x = 6,893.72 × 3,782.58
  4. Step 4: Simplify right side
    4,613.64x = 26,076,028.48
  5. Step 5: Solve for x
    x = 26,076,028.48/4,613.64
  6. Step 6: Final answer
    x = 5,651.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.