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Finding the Fourth Proportional to 4,283, 5,910.54 and 2,420

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Solution

The fourth proportional to 4,283, 5,910.54 and 2,420 is: 3,339.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283 : 5,910.54 = 2,420 : x
  2. Step 2: Convert to fraction form
    4,283/5,910.54 = 2,420/x
  3. Step 3: Cross multiply
    4,283x = 5,910.54 × 2,420
  4. Step 4: Simplify right side
    4,283x = 14,303,506.80
  5. Step 5: Solve for x
    x = 14,303,506.80/4,283
  6. Step 6: Final answer
    x = 3,339.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.