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Finding the Fourth Proportional to 3,213.40, 4,797.08 and 2,985

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Solution

The fourth proportional to 3,213.40, 4,797.08 and 2,985 is: 4,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.40 : 4,797.08 = 2,985 : x
  2. Step 2: Convert to fraction form
    3,213.40/4,797.08 = 2,985/x
  3. Step 3: Cross multiply
    3,213.40x = 4,797.08 × 2,985
  4. Step 4: Simplify right side
    3,213.40x = 14,319,283.80
  5. Step 5: Solve for x
    x = 14,319,283.80/3,213.40
  6. Step 6: Final answer
    x = 4,456.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.