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Finding the Fourth Proportional to 5,709.48, 7,871.94 and 4,659.24

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Solution

The fourth proportional to 5,709.48, 7,871.94 and 4,659.24 is: 6,423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.48 : 7,871.94 = 4,659.24 : x
  2. Step 2: Convert to fraction form
    5,709.48/7,871.94 = 4,659.24/x
  3. Step 3: Cross multiply
    5,709.48x = 7,871.94 × 4,659.24
  4. Step 4: Simplify right side
    5,709.48x = 36,677,257.73
  5. Step 5: Solve for x
    x = 36,677,257.73/5,709.48
  6. Step 6: Final answer
    x = 6,423.92

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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.