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Finding the Fourth Proportional to 3,430.63, 4,734 and 1,938.71

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Solution

The fourth proportional to 3,430.63, 4,734 and 1,938.71 is: 2,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.63 : 4,734 = 1,938.71 : x
  2. Step 2: Convert to fraction form
    3,430.63/4,734 = 1,938.71/x
  3. Step 3: Cross multiply
    3,430.63x = 4,734 × 1,938.71
  4. Step 4: Simplify right side
    3,430.63x = 9,177,853.14
  5. Step 5: Solve for x
    x = 9,177,853.14/3,430.63
  6. Step 6: Final answer
    x = 2,675.27

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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.