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Finding the Fourth Proportional to 3,993.77, 5,984.06 and 2,429.01

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Solution

The fourth proportional to 3,993.77, 5,984.06 and 2,429.01 is: 3,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.77 : 5,984.06 = 2,429.01 : x
  2. Step 2: Convert to fraction form
    3,993.77/5,984.06 = 2,429.01/x
  3. Step 3: Cross multiply
    3,993.77x = 5,984.06 × 2,429.01
  4. Step 4: Simplify right side
    3,993.77x = 14,535,329.44
  5. Step 5: Solve for x
    x = 14,535,329.44/3,993.77
  6. Step 6: Final answer
    x = 3,639.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.