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Finding the Fourth Proportional to 4,632.36, 6,950.16 and 2,035.50

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Solution

The fourth proportional to 4,632.36, 6,950.16 and 2,035.50 is: 3,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.36 : 6,950.16 = 2,035.50 : x
  2. Step 2: Convert to fraction form
    4,632.36/6,950.16 = 2,035.50/x
  3. Step 3: Cross multiply
    4,632.36x = 6,950.16 × 2,035.50
  4. Step 4: Simplify right side
    4,632.36x = 14,147,050.68
  5. Step 5: Solve for x
    x = 14,147,050.68/4,632.36
  6. Step 6: Final answer
    x = 3,053.96

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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.