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Finding the Fourth Proportional to 4,693.97, 7,039.23 and 1,405.95

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Solution

The fourth proportional to 4,693.97, 7,039.23 and 1,405.95 is: 2,108.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.97 : 7,039.23 = 1,405.95 : x
  2. Step 2: Convert to fraction form
    4,693.97/7,039.23 = 1,405.95/x
  3. Step 3: Cross multiply
    4,693.97x = 7,039.23 × 1,405.95
  4. Step 4: Simplify right side
    4,693.97x = 9,896,805.42
  5. Step 5: Solve for x
    x = 9,896,805.42/4,693.97
  6. Step 6: Final answer
    x = 2,108.41

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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.