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Finding the Fourth Proportional to 3,285.84, 4,533 and 2,165.34

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Solution

The fourth proportional to 3,285.84, 4,533 and 2,165.34 is: 2,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.84 : 4,533 = 2,165.34 : x
  2. Step 2: Convert to fraction form
    3,285.84/4,533 = 2,165.34/x
  3. Step 3: Cross multiply
    3,285.84x = 4,533 × 2,165.34
  4. Step 4: Simplify right side
    3,285.84x = 9,815,486.22
  5. Step 5: Solve for x
    x = 9,815,486.22/3,285.84
  6. Step 6: Final answer
    x = 2,987.21

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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.