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Finding the Fourth Proportional to 5,585.88, 7,709.90 and 3,227.68

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Solution

The fourth proportional to 5,585.88, 7,709.90 and 3,227.68 is: 4,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.88 : 7,709.90 = 3,227.68 : x
  2. Step 2: Convert to fraction form
    5,585.88/7,709.90 = 3,227.68/x
  3. Step 3: Cross multiply
    5,585.88x = 7,709.90 × 3,227.68
  4. Step 4: Simplify right side
    5,585.88x = 24,885,090.03
  5. Step 5: Solve for x
    x = 24,885,090.03/5,585.88
  6. Step 6: Final answer
    x = 4,455.00

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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.