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Finding the Fourth Proportional to 4,089.51, 5,642.07 and 2,674.01

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Solution

The fourth proportional to 4,089.51, 5,642.07 and 2,674.01 is: 3,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.51 : 5,642.07 = 2,674.01 : x
  2. Step 2: Convert to fraction form
    4,089.51/5,642.07 = 2,674.01/x
  3. Step 3: Cross multiply
    4,089.51x = 5,642.07 × 2,674.01
  4. Step 4: Simplify right side
    4,089.51x = 15,086,951.60
  5. Step 5: Solve for x
    x = 15,086,951.60/4,089.51
  6. Step 6: Final answer
    x = 3,689.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.