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Finding the Fourth Proportional to 5,303.43, 7,953.98 and 1,604.79

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Solution

The fourth proportional to 5,303.43, 7,953.98 and 1,604.79 is: 2,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.43 : 7,953.98 = 1,604.79 : x
  2. Step 2: Convert to fraction form
    5,303.43/7,953.98 = 1,604.79/x
  3. Step 3: Cross multiply
    5,303.43x = 7,953.98 × 1,604.79
  4. Step 4: Simplify right side
    5,303.43x = 12,764,459.54
  5. Step 5: Solve for x
    x = 12,764,459.54/5,303.43
  6. Step 6: Final answer
    x = 2,406.83

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