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Finding the Fourth Proportional to 5,252.04, 7,873.22 and 1,786.88

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Solution

The fourth proportional to 5,252.04, 7,873.22 and 1,786.88 is: 2,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.04 : 7,873.22 = 1,786.88 : x
  2. Step 2: Convert to fraction form
    5,252.04/7,873.22 = 1,786.88/x
  3. Step 3: Cross multiply
    5,252.04x = 7,873.22 × 1,786.88
  4. Step 4: Simplify right side
    5,252.04x = 14,068,499.35
  5. Step 5: Solve for x
    x = 14,068,499.35/5,252.04
  6. Step 6: Final answer
    x = 2,678.67

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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.