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Finding the Fourth Proportional to 5,303.50, 7,953.72 and 1,604.86

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Solution

The fourth proportional to 5,303.50, 7,953.72 and 1,604.86 is: 2,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.50 : 7,953.72 = 1,604.86 : x
  2. Step 2: Convert to fraction form
    5,303.50/7,953.72 = 1,604.86/x
  3. Step 3: Cross multiply
    5,303.50x = 7,953.72 × 1,604.86
  4. Step 4: Simplify right side
    5,303.50x = 12,764,607.08
  5. Step 5: Solve for x
    x = 12,764,607.08/5,303.50
  6. Step 6: Final answer
    x = 2,406.83

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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.