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Finding the Fourth Proportional to 4,809.49, 7,201.92 and 4,260.00

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Solution

The fourth proportional to 4,809.49, 7,201.92 and 4,260.00 is: 6,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.49 : 7,201.92 = 4,260.00 : x
  2. Step 2: Convert to fraction form
    4,809.49/7,201.92 = 4,260.00/x
  3. Step 3: Cross multiply
    4,809.49x = 7,201.92 × 4,260.00
  4. Step 4: Simplify right side
    4,809.49x = 30,680,222.18
  5. Step 5: Solve for x
    x = 30,680,222.18/4,809.49
  6. Step 6: Final answer
    x = 6,379.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.