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Finding the Fourth Proportional to 4,009.80, 6,017.28 and 1,412.64

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Solution

The fourth proportional to 4,009.80, 6,017.28 and 1,412.64 is: 2,119.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.80 : 6,017.28 = 1,412.64 : x
  2. Step 2: Convert to fraction form
    4,009.80/6,017.28 = 1,412.64/x
  3. Step 3: Cross multiply
    4,009.80x = 6,017.28 × 1,412.64
  4. Step 4: Simplify right side
    4,009.80x = 8,500,250.42
  5. Step 5: Solve for x
    x = 8,500,250.42/4,009.80
  6. Step 6: Final answer
    x = 2,119.87

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