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Finding the Fourth Proportional to 4,009.64, 6,014.34 and 1,816.76

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Solution

The fourth proportional to 4,009.64, 6,014.34 and 1,816.76 is: 2,725.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.64 : 6,014.34 = 1,816.76 : x
  2. Step 2: Convert to fraction form
    4,009.64/6,014.34 = 1,816.76/x
  3. Step 3: Cross multiply
    4,009.64x = 6,014.34 × 1,816.76
  4. Step 4: Simplify right side
    4,009.64x = 10,926,612.34
  5. Step 5: Solve for x
    x = 10,926,612.34/4,009.64
  6. Step 6: Final answer
    x = 2,725.09

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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.