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Finding the Fourth Proportional to 3,021, 4,170.69 and 2,356.44

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Solution

The fourth proportional to 3,021, 4,170.69 and 2,356.44 is: 3,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021 : 4,170.69 = 2,356.44 : x
  2. Step 2: Convert to fraction form
    3,021/4,170.69 = 2,356.44/x
  3. Step 3: Cross multiply
    3,021x = 4,170.69 × 2,356.44
  4. Step 4: Simplify right side
    3,021x = 9,827,980.74
  5. Step 5: Solve for x
    x = 9,827,980.74/3,021
  6. Step 6: Final answer
    x = 3,253.22

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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.