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Finding the Fourth Proportional to 5,709.63, 7,877.07 and 3,584.30

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Solution

The fourth proportional to 5,709.63, 7,877.07 and 3,584.30 is: 4,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.63 : 7,877.07 = 3,584.30 : x
  2. Step 2: Convert to fraction form
    5,709.63/7,877.07 = 3,584.30/x
  3. Step 3: Cross multiply
    5,709.63x = 7,877.07 × 3,584.30
  4. Step 4: Simplify right side
    5,709.63x = 28,233,742.62
  5. Step 5: Solve for x
    x = 28,233,742.62/5,709.63
  6. Step 6: Final answer
    x = 4,944.93

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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.