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Finding the Fourth Proportional to 4,672.32, 7,008.50 and 1,209.56

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Solution

The fourth proportional to 4,672.32, 7,008.50 and 1,209.56 is: 1,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.32 : 7,008.50 = 1,209.56 : x
  2. Step 2: Convert to fraction form
    4,672.32/7,008.50 = 1,209.56/x
  3. Step 3: Cross multiply
    4,672.32x = 7,008.50 × 1,209.56
  4. Step 4: Simplify right side
    4,672.32x = 8,477,201.26
  5. Step 5: Solve for x
    x = 8,477,201.26/4,672.32
  6. Step 6: Final answer
    x = 1,814.35

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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.