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Finding the Fourth Proportional to 4,357.81, 6,011.44 and 3,029.21

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Solution

The fourth proportional to 4,357.81, 6,011.44 and 3,029.21 is: 4,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.81 : 6,011.44 = 3,029.21 : x
  2. Step 2: Convert to fraction form
    4,357.81/6,011.44 = 3,029.21/x
  3. Step 3: Cross multiply
    4,357.81x = 6,011.44 × 3,029.21
  4. Step 4: Simplify right side
    4,357.81x = 18,209,914.16
  5. Step 5: Solve for x
    x = 18,209,914.16/4,357.81
  6. Step 6: Final answer
    x = 4,178.68

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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.