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Finding the Fourth Proportional to 4,203.18, 5,800 and 2,434.90

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Solution

The fourth proportional to 4,203.18, 5,800 and 2,434.90 is: 3,359.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.18 : 5,800 = 2,434.90 : x
  2. Step 2: Convert to fraction form
    4,203.18/5,800 = 2,434.90/x
  3. Step 3: Cross multiply
    4,203.18x = 5,800 × 2,434.90
  4. Step 4: Simplify right side
    4,203.18x = 14,122,420
  5. Step 5: Solve for x
    x = 14,122,420/4,203.18
  6. Step 6: Final answer
    x = 3,359.94

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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.