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Finding the Fourth Proportional to 4,632.65, 6,932.56 and 4,085.90

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Solution

The fourth proportional to 4,632.65, 6,932.56 and 4,085.90 is: 6,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.65 : 6,932.56 = 4,085.90 : x
  2. Step 2: Convert to fraction form
    4,632.65/6,932.56 = 4,085.90/x
  3. Step 3: Cross multiply
    4,632.65x = 6,932.56 × 4,085.90
  4. Step 4: Simplify right side
    4,632.65x = 28,325,746.90
  5. Step 5: Solve for x
    x = 28,325,746.90/4,632.65
  6. Step 6: Final answer
    x = 6,114.37

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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.