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Finding the Fourth Proportional to 5,188.77, 7,786.28 and 1,856.76

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Solution

The fourth proportional to 5,188.77, 7,786.28 and 1,856.76 is: 2,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.77 : 7,786.28 = 1,856.76 : x
  2. Step 2: Convert to fraction form
    5,188.77/7,786.28 = 1,856.76/x
  3. Step 3: Cross multiply
    5,188.77x = 7,786.28 × 1,856.76
  4. Step 4: Simplify right side
    5,188.77x = 14,457,253.25
  5. Step 5: Solve for x
    x = 14,457,253.25/5,188.77
  6. Step 6: Final answer
    x = 2,786.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.