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Finding the Fourth Proportional to 4,644.41, 6,407.72 and 2,653.56

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Solution

The fourth proportional to 4,644.41, 6,407.72 and 2,653.56 is: 3,661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.41 : 6,407.72 = 2,653.56 : x
  2. Step 2: Convert to fraction form
    4,644.41/6,407.72 = 2,653.56/x
  3. Step 3: Cross multiply
    4,644.41x = 6,407.72 × 2,653.56
  4. Step 4: Simplify right side
    4,644.41x = 17,003,281.09
  5. Step 5: Solve for x
    x = 17,003,281.09/4,644.41
  6. Step 6: Final answer
    x = 3,661.02

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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.