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Finding the Fourth Proportional to 5,706.81, 7,875.41 and 3,222.81

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Solution

The fourth proportional to 5,706.81, 7,875.41 and 3,222.81 is: 4,447.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.81 : 7,875.41 = 3,222.81 : x
  2. Step 2: Convert to fraction form
    5,706.81/7,875.41 = 3,222.81/x
  3. Step 3: Cross multiply
    5,706.81x = 7,875.41 × 3,222.81
  4. Step 4: Simplify right side
    5,706.81x = 25,380,950.10
  5. Step 5: Solve for x
    x = 25,380,950.10/5,706.81
  6. Step 6: Final answer
    x = 4,447.48

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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.