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Finding the Fourth Proportional to 4,644.46, 6,409.78 and 2,655.02

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Solution

The fourth proportional to 4,644.46, 6,409.78 and 2,655.02 is: 3,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.46 : 6,409.78 = 2,655.02 : x
  2. Step 2: Convert to fraction form
    4,644.46/6,409.78 = 2,655.02/x
  3. Step 3: Cross multiply
    4,644.46x = 6,409.78 × 2,655.02
  4. Step 4: Simplify right side
    4,644.46x = 17,018,094.10
  5. Step 5: Solve for x
    x = 17,018,094.10/4,644.46
  6. Step 6: Final answer
    x = 3,664.17

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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.