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Finding the Fourth Proportional to 6,362.96, 8,780.00 and 3,710.61

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Solution

The fourth proportional to 6,362.96, 8,780.00 and 3,710.61 is: 5,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.96 : 8,780.00 = 3,710.61 : x
  2. Step 2: Convert to fraction form
    6,362.96/8,780.00 = 3,710.61/x
  3. Step 3: Cross multiply
    6,362.96x = 8,780.00 × 3,710.61
  4. Step 4: Simplify right side
    6,362.96x = 32,579,137.25
  5. Step 5: Solve for x
    x = 32,579,137.25/6,362.96
  6. Step 6: Final answer
    x = 5,120.13

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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.