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Finding the Fourth Proportional to 4,663.98, 6,995.97 and 4,430.43

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Solution

The fourth proportional to 4,663.98, 6,995.97 and 4,430.43 is: 6,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.98 : 6,995.97 = 4,430.43 : x
  2. Step 2: Convert to fraction form
    4,663.98/6,995.97 = 4,430.43/x
  3. Step 3: Cross multiply
    4,663.98x = 6,995.97 × 4,430.43
  4. Step 4: Simplify right side
    4,663.98x = 30,995,155.37
  5. Step 5: Solve for x
    x = 30,995,155.37/4,663.98
  6. Step 6: Final answer
    x = 6,645.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.