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Finding the Fourth Proportional to 4,328, 6,488.76 and 1,404.56

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Solution

The fourth proportional to 4,328, 6,488.76 and 1,404.56 is: 2,105.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328 : 6,488.76 = 1,404.56 : x
  2. Step 2: Convert to fraction form
    4,328/6,488.76 = 1,404.56/x
  3. Step 3: Cross multiply
    4,328x = 6,488.76 × 1,404.56
  4. Step 4: Simplify right side
    4,328x = 9,113,852.75
  5. Step 5: Solve for x
    x = 9,113,852.75/4,328
  6. Step 6: Final answer
    x = 2,105.79

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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.