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Finding the Fourth Proportional to 4,203, 5,800.14 and 2,340

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Solution

The fourth proportional to 4,203, 5,800.14 and 2,340 is: 3,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203 : 5,800.14 = 2,340 : x
  2. Step 2: Convert to fraction form
    4,203/5,800.14 = 2,340/x
  3. Step 3: Cross multiply
    4,203x = 5,800.14 × 2,340
  4. Step 4: Simplify right side
    4,203x = 13,572,327.60
  5. Step 5: Solve for x
    x = 13,572,327.60/4,203
  6. Step 6: Final answer
    x = 3,229.20

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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.