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Finding the Fourth Proportional to 4,664.07, 6,435.96 and 2,775.08

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Solution

The fourth proportional to 4,664.07, 6,435.96 and 2,775.08 is: 3,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664.07 : 6,435.96 = 2,775.08 : x
  2. Step 2: Convert to fraction form
    4,664.07/6,435.96 = 2,775.08/x
  3. Step 3: Cross multiply
    4,664.07x = 6,435.96 × 2,775.08
  4. Step 4: Simplify right side
    4,664.07x = 17,860,309.56
  5. Step 5: Solve for x
    x = 17,860,309.56/4,664.07
  6. Step 6: Final answer
    x = 3,829.34

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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.