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Finding the Fourth Proportional to 4,701.96, 6,490.26 and 3,129.84

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Solution

The fourth proportional to 4,701.96, 6,490.26 and 3,129.84 is: 4,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.96 : 6,490.26 = 3,129.84 : x
  2. Step 2: Convert to fraction form
    4,701.96/6,490.26 = 3,129.84/x
  3. Step 3: Cross multiply
    4,701.96x = 6,490.26 × 3,129.84
  4. Step 4: Simplify right side
    4,701.96x = 20,313,475.36
  5. Step 5: Solve for x
    x = 20,313,475.36/4,701.96
  6. Step 6: Final answer
    x = 4,320.21

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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.