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Finding the Fourth Proportional to 5,706.56, 7,875.05 and 3,188.67

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Solution

The fourth proportional to 5,706.56, 7,875.05 and 3,188.67 is: 4,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.56 : 7,875.05 = 3,188.67 : x
  2. Step 2: Convert to fraction form
    5,706.56/7,875.05 = 3,188.67/x
  3. Step 3: Cross multiply
    5,706.56x = 7,875.05 × 3,188.67
  4. Step 4: Simplify right side
    5,706.56x = 25,110,919.74
  5. Step 5: Solve for x
    x = 25,110,919.74/5,706.56
  6. Step 6: Final answer
    x = 4,400.36

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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.