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Finding the Fourth Proportional to 4,932.74, 6,808.47 and 3,045.95

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Solution

The fourth proportional to 4,932.74, 6,808.47 and 3,045.95 is: 4,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.74 : 6,808.47 = 3,045.95 : x
  2. Step 2: Convert to fraction form
    4,932.74/6,808.47 = 3,045.95/x
  3. Step 3: Cross multiply
    4,932.74x = 6,808.47 × 3,045.95
  4. Step 4: Simplify right side
    4,932.74x = 20,738,259.20
  5. Step 5: Solve for x
    x = 20,738,259.20/4,932.74
  6. Step 6: Final answer
    x = 4,204.21

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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.