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Finding the Fourth Proportional to 4,644.42, 6,409.76 and 2,654.60

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Solution

The fourth proportional to 4,644.42, 6,409.76 and 2,654.60 is: 3,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.42 : 6,409.76 = 2,654.60 : x
  2. Step 2: Convert to fraction form
    4,644.42/6,409.76 = 2,654.60/x
  3. Step 3: Cross multiply
    4,644.42x = 6,409.76 × 2,654.60
  4. Step 4: Simplify right side
    4,644.42x = 17,015,303.57
  5. Step 5: Solve for x
    x = 17,015,303.57/4,644.42
  6. Step 6: Final answer
    x = 3,663.60

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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.