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Finding the Fourth Proportional to 4,663.94, 6,995.23 and 1,377.29

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Solution

The fourth proportional to 4,663.94, 6,995.23 and 1,377.29 is: 2,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.94 : 6,995.23 = 1,377.29 : x
  2. Step 2: Convert to fraction form
    4,663.94/6,995.23 = 1,377.29/x
  3. Step 3: Cross multiply
    4,663.94x = 6,995.23 × 1,377.29
  4. Step 4: Simplify right side
    4,663.94x = 9,634,474.37
  5. Step 5: Solve for x
    x = 9,634,474.37/4,663.94
  6. Step 6: Final answer
    x = 2,065.74

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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.