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Finding the Fourth Proportional to 3,470.64, 5,208.12 and 1,524.48

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Solution

The fourth proportional to 3,470.64, 5,208.12 and 1,524.48 is: 2,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.64 : 5,208.12 = 1,524.48 : x
  2. Step 2: Convert to fraction form
    3,470.64/5,208.12 = 1,524.48/x
  3. Step 3: Cross multiply
    3,470.64x = 5,208.12 × 1,524.48
  4. Step 4: Simplify right side
    3,470.64x = 7,939,674.78
  5. Step 5: Solve for x
    x = 7,939,674.78/3,470.64
  6. Step 6: Final answer
    x = 2,287.67

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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.