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Finding the Fourth Proportional to 3,538.62, 5,305.32 and 1,688.22

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Solution

The fourth proportional to 3,538.62, 5,305.32 and 1,688.22 is: 2,531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.62 : 5,305.32 = 1,688.22 : x
  2. Step 2: Convert to fraction form
    3,538.62/5,305.32 = 1,688.22/x
  3. Step 3: Cross multiply
    3,538.62x = 5,305.32 × 1,688.22
  4. Step 4: Simplify right side
    3,538.62x = 8,956,547.33
  5. Step 5: Solve for x
    x = 8,956,547.33/3,538.62
  6. Step 6: Final answer
    x = 2,531.08

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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.