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Finding the Fourth Proportional to 5,584.84, 7,710.68 and 3,462.62

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Solution

The fourth proportional to 5,584.84, 7,710.68 and 3,462.62 is: 4,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.84 : 7,710.68 = 3,462.62 : x
  2. Step 2: Convert to fraction form
    5,584.84/7,710.68 = 3,462.62/x
  3. Step 3: Cross multiply
    5,584.84x = 7,710.68 × 3,462.62
  4. Step 4: Simplify right side
    5,584.84x = 26,699,183.83
  5. Step 5: Solve for x
    x = 26,699,183.83/5,584.84
  6. Step 6: Final answer
    x = 4,780.66

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1.5x scale

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.