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Finding the Fourth Proportional to 4,044.54, 6,069.58 and 1,412.05

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Solution

The fourth proportional to 4,044.54, 6,069.58 and 1,412.05 is: 2,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.54 : 6,069.58 = 1,412.05 : x
  2. Step 2: Convert to fraction form
    4,044.54/6,069.58 = 1,412.05/x
  3. Step 3: Cross multiply
    4,044.54x = 6,069.58 × 1,412.05
  4. Step 4: Simplify right side
    4,044.54x = 8,570,544.51
  5. Step 5: Solve for x
    x = 8,570,544.51/4,044.54
  6. Step 6: Final answer
    x = 2,119.04

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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.