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Finding the Fourth Proportional to 6,359.83, 8,777.46 and 3,527.83

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Solution

The fourth proportional to 6,359.83, 8,777.46 and 3,527.83 is: 4,868.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.83 : 8,777.46 = 3,527.83 : x
  2. Step 2: Convert to fraction form
    6,359.83/8,777.46 = 3,527.83/x
  3. Step 3: Cross multiply
    6,359.83x = 8,777.46 × 3,527.83
  4. Step 4: Simplify right side
    6,359.83x = 30,965,386.71
  5. Step 5: Solve for x
    x = 30,965,386.71/6,359.83
  6. Step 6: Final answer
    x = 4,868.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.