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Finding the Fourth Proportional to 4,872.50, 7,308.75 and 1,409.78

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Solution

The fourth proportional to 4,872.50, 7,308.75 and 1,409.78 is: 2,114.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.50 : 7,308.75 = 1,409.78 : x
  2. Step 2: Convert to fraction form
    4,872.50/7,308.75 = 1,409.78/x
  3. Step 3: Cross multiply
    4,872.50x = 7,308.75 × 1,409.78
  4. Step 4: Simplify right side
    4,872.50x = 10,303,729.58
  5. Step 5: Solve for x
    x = 10,303,729.58/4,872.50
  6. Step 6: Final answer
    x = 2,114.67

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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.