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Finding the Fourth Proportional to 5,730.50, 7,908.21 and 3,246.50

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Solution

The fourth proportional to 5,730.50, 7,908.21 and 3,246.50 is: 4,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.50 : 7,908.21 = 3,246.50 : x
  2. Step 2: Convert to fraction form
    5,730.50/7,908.21 = 3,246.50/x
  3. Step 3: Cross multiply
    5,730.50x = 7,908.21 × 3,246.50
  4. Step 4: Simplify right side
    5,730.50x = 25,674,003.77
  5. Step 5: Solve for x
    x = 25,674,003.77/5,730.50
  6. Step 6: Final answer
    x = 4,480.24

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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.