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Finding the Fourth Proportional to 4,330.80, 6,496.80 and 1,556.96

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Solution

The fourth proportional to 4,330.80, 6,496.80 and 1,556.96 is: 2,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.80 : 6,496.80 = 1,556.96 : x
  2. Step 2: Convert to fraction form
    4,330.80/6,496.80 = 1,556.96/x
  3. Step 3: Cross multiply
    4,330.80x = 6,496.80 × 1,556.96
  4. Step 4: Simplify right side
    4,330.80x = 10,115,225.24
  5. Step 5: Solve for x
    x = 10,115,225.24/4,330.80
  6. Step 6: Final answer
    x = 2,335.65

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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.