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Finding the Fourth Proportional to 4,572.49, 6,309.73 and 2,582.66

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Solution

The fourth proportional to 4,572.49, 6,309.73 and 2,582.66 is: 3,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.49 : 6,309.73 = 2,582.66 : x
  2. Step 2: Convert to fraction form
    4,572.49/6,309.73 = 2,582.66/x
  3. Step 3: Cross multiply
    4,572.49x = 6,309.73 × 2,582.66
  4. Step 4: Simplify right side
    4,572.49x = 16,295,887.28
  5. Step 5: Solve for x
    x = 16,295,887.28/4,572.49
  6. Step 6: Final answer
    x = 3,563.90

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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.