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Finding the Fourth Proportional to 4,173.84, 5,756.40 and 3,288.24

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Solution

The fourth proportional to 4,173.84, 5,756.40 and 3,288.24 is: 4,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.84 : 5,756.40 = 3,288.24 : x
  2. Step 2: Convert to fraction form
    4,173.84/5,756.40 = 3,288.24/x
  3. Step 3: Cross multiply
    4,173.84x = 5,756.40 × 3,288.24
  4. Step 4: Simplify right side
    4,173.84x = 18,928,424.74
  5. Step 5: Solve for x
    x = 18,928,424.74/4,173.84
  6. Step 6: Final answer
    x = 4,535.01

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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.