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Finding the Fourth Proportional to 3,387.74, 5,080.05 and 1,538.51

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Solution

The fourth proportional to 3,387.74, 5,080.05 and 1,538.51 is: 2,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.74 : 5,080.05 = 1,538.51 : x
  2. Step 2: Convert to fraction form
    3,387.74/5,080.05 = 1,538.51/x
  3. Step 3: Cross multiply
    3,387.74x = 5,080.05 × 1,538.51
  4. Step 4: Simplify right side
    3,387.74x = 7,815,682.33
  5. Step 5: Solve for x
    x = 7,815,682.33/3,387.74
  6. Step 6: Final answer
    x = 2,307.05

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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.