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Finding the Fourth Proportional to 6,051.71, 9,077.57 and 1,891.74

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Solution

The fourth proportional to 6,051.71, 9,077.57 and 1,891.74 is: 2,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.71 : 9,077.57 = 1,891.74 : x
  2. Step 2: Convert to fraction form
    6,051.71/9,077.57 = 1,891.74/x
  3. Step 3: Cross multiply
    6,051.71x = 9,077.57 × 1,891.74
  4. Step 4: Simplify right side
    6,051.71x = 17,172,347.43
  5. Step 5: Solve for x
    x = 17,172,347.43/6,051.71
  6. Step 6: Final answer
    x = 2,837.60

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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.