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Finding the Fourth Proportional to 6,303.72, 8,700 and 3,819.72

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Solution

The fourth proportional to 6,303.72, 8,700 and 3,819.72 is: 5,271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.72 : 8,700 = 3,819.72 : x
  2. Step 2: Convert to fraction form
    6,303.72/8,700 = 3,819.72/x
  3. Step 3: Cross multiply
    6,303.72x = 8,700 × 3,819.72
  4. Step 4: Simplify right side
    6,303.72x = 33,231,564
  5. Step 5: Solve for x
    x = 33,231,564/6,303.72
  6. Step 6: Final answer
    x = 5,271.74

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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.