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Finding the Fourth Proportional to 3,470.01, 5,202.99 and 1,520.07

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Solution

The fourth proportional to 3,470.01, 5,202.99 and 1,520.07 is: 2,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.01 : 5,202.99 = 1,520.07 : x
  2. Step 2: Convert to fraction form
    3,470.01/5,202.99 = 1,520.07/x
  3. Step 3: Cross multiply
    3,470.01x = 5,202.99 × 1,520.07
  4. Step 4: Simplify right side
    3,470.01x = 7,908,909.01
  5. Step 5: Solve for x
    x = 7,908,909.01/3,470.01
  6. Step 6: Final answer
    x = 2,279.22

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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.