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Finding the Fourth Proportional to 5,530.56, 7,632.84 and 3,435

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Solution

The fourth proportional to 5,530.56, 7,632.84 and 3,435 is: 4,740.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.56 : 7,632.84 = 3,435 : x
  2. Step 2: Convert to fraction form
    5,530.56/7,632.84 = 3,435/x
  3. Step 3: Cross multiply
    5,530.56x = 7,632.84 × 3,435
  4. Step 4: Simplify right side
    5,530.56x = 26,218,805.40
  5. Step 5: Solve for x
    x = 26,218,805.40/5,530.56
  6. Step 6: Final answer
    x = 4,740.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.