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Finding the Fourth Proportional to 4,777.97, 7,162.64 and 1,699.25

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Solution

The fourth proportional to 4,777.97, 7,162.64 and 1,699.25 is: 2,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.97 : 7,162.64 = 1,699.25 : x
  2. Step 2: Convert to fraction form
    4,777.97/7,162.64 = 1,699.25/x
  3. Step 3: Cross multiply
    4,777.97x = 7,162.64 × 1,699.25
  4. Step 4: Simplify right side
    4,777.97x = 12,171,125.43
  5. Step 5: Solve for x
    x = 12,171,125.43/4,777.97
  6. Step 6: Final answer
    x = 2,547.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.