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Finding the Fourth Proportional to 3,531.51, 5,297.97 and 1,684.71

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Solution

The fourth proportional to 3,531.51, 5,297.97 and 1,684.71 is: 2,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.51 : 5,297.97 = 1,684.71 : x
  2. Step 2: Convert to fraction form
    3,531.51/5,297.97 = 1,684.71/x
  3. Step 3: Cross multiply
    3,531.51x = 5,297.97 × 1,684.71
  4. Step 4: Simplify right side
    3,531.51x = 8,925,543.04
  5. Step 5: Solve for x
    x = 8,925,543.04/3,531.51
  6. Step 6: Final answer
    x = 2,527.40

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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.