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Finding the Fourth Proportional to 5,159.70, 7,740.09 and 3,210.30

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Solution

The fourth proportional to 5,159.70, 7,740.09 and 3,210.30 is: 4,815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.70 : 7,740.09 = 3,210.30 : x
  2. Step 2: Convert to fraction form
    5,159.70/7,740.09 = 3,210.30/x
  3. Step 3: Cross multiply
    5,159.70x = 7,740.09 × 3,210.30
  4. Step 4: Simplify right side
    5,159.70x = 24,848,010.93
  5. Step 5: Solve for x
    x = 24,848,010.93/5,159.70
  6. Step 6: Final answer
    x = 4,815.79

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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.