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Finding the Fourth Proportional to 4,190, 5,783.64 and 2,534

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Solution

The fourth proportional to 4,190, 5,783.64 and 2,534 is: 3,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 5,783.64 = 2,534 : x
  2. Step 2: Convert to fraction form
    4,190/5,783.64 = 2,534/x
  3. Step 3: Cross multiply
    4,190x = 5,783.64 × 2,534
  4. Step 4: Simplify right side
    4,190x = 14,655,743.76
  5. Step 5: Solve for x
    x = 14,655,743.76/4,190
  6. Step 6: Final answer
    x = 3,497.79

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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.