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Finding the Fourth Proportional to 4,644.61, 6,409.46 and 2,655.05

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Solution

The fourth proportional to 4,644.61, 6,409.46 and 2,655.05 is: 3,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.61 : 6,409.46 = 2,655.05 : x
  2. Step 2: Convert to fraction form
    4,644.61/6,409.46 = 2,655.05/x
  3. Step 3: Cross multiply
    4,644.61x = 6,409.46 × 2,655.05
  4. Step 4: Simplify right side
    4,644.61x = 17,017,436.77
  5. Step 5: Solve for x
    x = 17,017,436.77/4,644.61
  6. Step 6: Final answer
    x = 3,663.91

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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.