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Finding the Fourth Proportional to 4,297.12, 5,930.40 and 2,434

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Solution

The fourth proportional to 4,297.12, 5,930.40 and 2,434 is: 3,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.12 : 5,930.40 = 2,434 : x
  2. Step 2: Convert to fraction form
    4,297.12/5,930.40 = 2,434/x
  3. Step 3: Cross multiply
    4,297.12x = 5,930.40 × 2,434
  4. Step 4: Simplify right side
    4,297.12x = 14,434,593.60
  5. Step 5: Solve for x
    x = 14,434,593.60/4,297.12
  6. Step 6: Final answer
    x = 3,359.13

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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.