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Finding the Fourth Proportional to 4,663.85, 6,995.84 and 1,376.99

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Solution

The fourth proportional to 4,663.85, 6,995.84 and 1,376.99 is: 2,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.85 : 6,995.84 = 1,376.99 : x
  2. Step 2: Convert to fraction form
    4,663.85/6,995.84 = 1,376.99/x
  3. Step 3: Cross multiply
    4,663.85x = 6,995.84 × 1,376.99
  4. Step 4: Simplify right side
    4,663.85x = 9,633,194.84
  5. Step 5: Solve for x
    x = 9,633,194.84/4,663.85
  6. Step 6: Final answer
    x = 2,065.50

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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.