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Finding the Fourth Proportional to 4,663.58, 6,995.43 and 3,019.28

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Solution

The fourth proportional to 4,663.58, 6,995.43 and 3,019.28 is: 4,528.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.58 : 6,995.43 = 3,019.28 : x
  2. Step 2: Convert to fraction form
    4,663.58/6,995.43 = 3,019.28/x
  3. Step 3: Cross multiply
    4,663.58x = 6,995.43 × 3,019.28
  4. Step 4: Simplify right side
    4,663.58x = 21,121,126.91
  5. Step 5: Solve for x
    x = 21,121,126.91/4,663.58
  6. Step 6: Final answer
    x = 4,528.96

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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.