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Finding the Fourth Proportional to 3,426.76, 4,720.73 and 3,260

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Solution

The fourth proportional to 3,426.76, 4,720.73 and 3,260 is: 4,491.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.76 : 4,720.73 = 3,260 : x
  2. Step 2: Convert to fraction form
    3,426.76/4,720.73 = 3,260/x
  3. Step 3: Cross multiply
    3,426.76x = 4,720.73 × 3,260
  4. Step 4: Simplify right side
    3,426.76x = 15,389,579.80
  5. Step 5: Solve for x
    x = 15,389,579.80/3,426.76
  6. Step 6: Final answer
    x = 4,491.00

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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.