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Finding the Fourth Proportional to 4,663.44, 6,433.20 and 3,151.80

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Solution

The fourth proportional to 4,663.44, 6,433.20 and 3,151.80 is: 4,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.44 : 6,433.20 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    4,663.44/6,433.20 = 3,151.80/x
  3. Step 3: Cross multiply
    4,663.44x = 6,433.20 × 3,151.80
  4. Step 4: Simplify right side
    4,663.44x = 20,276,159.76
  5. Step 5: Solve for x
    x = 20,276,159.76/4,663.44
  6. Step 6: Final answer
    x = 4,347.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.