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Finding the Fourth Proportional to 3,632.51, 5,014.31 and 2,306.95

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Solution

The fourth proportional to 3,632.51, 5,014.31 and 2,306.95 is: 3,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.51 : 5,014.31 = 2,306.95 : x
  2. Step 2: Convert to fraction form
    3,632.51/5,014.31 = 2,306.95/x
  3. Step 3: Cross multiply
    3,632.51x = 5,014.31 × 2,306.95
  4. Step 4: Simplify right side
    3,632.51x = 11,567,738.38
  5. Step 5: Solve for x
    x = 11,567,738.38/3,632.51
  6. Step 6: Final answer
    x = 3,184.50

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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.