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Finding the Fourth Proportional to 4,563.81, 6,292.49 and 4,009.77

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Solution

The fourth proportional to 4,563.81, 6,292.49 and 4,009.77 is: 5,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.81 : 6,292.49 = 4,009.77 : x
  2. Step 2: Convert to fraction form
    4,563.81/6,292.49 = 4,009.77/x
  3. Step 3: Cross multiply
    4,563.81x = 6,292.49 × 4,009.77
  4. Step 4: Simplify right side
    4,563.81x = 25,231,417.58
  5. Step 5: Solve for x
    x = 25,231,417.58/4,563.81
  6. Step 6: Final answer
    x = 5,528.59

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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.