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Finding the Fourth Proportional to 4,644.34, 6,407.63 and 2,653.49

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Solution

The fourth proportional to 4,644.34, 6,407.63 and 2,653.49 is: 3,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.34 : 6,407.63 = 2,653.49 : x
  2. Step 2: Convert to fraction form
    4,644.34/6,407.63 = 2,653.49/x
  3. Step 3: Cross multiply
    4,644.34x = 6,407.63 × 2,653.49
  4. Step 4: Simplify right side
    4,644.34x = 17,002,594.83
  5. Step 5: Solve for x
    x = 17,002,594.83/4,644.34
  6. Step 6: Final answer
    x = 3,660.93

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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.