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Finding the Fourth Proportional to 4,313.57, 6,461.84 and 4,009.82

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Solution

The fourth proportional to 4,313.57, 6,461.84 and 4,009.82 is: 6,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.57 : 6,461.84 = 4,009.82 : x
  2. Step 2: Convert to fraction form
    4,313.57/6,461.84 = 4,009.82/x
  3. Step 3: Cross multiply
    4,313.57x = 6,461.84 × 4,009.82
  4. Step 4: Simplify right side
    4,313.57x = 25,910,792.98
  5. Step 5: Solve for x
    x = 25,910,792.98/4,313.57
  6. Step 6: Final answer
    x = 6,006.82

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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.