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Finding the Fourth Proportional to 5,536.25, 7,638.11 and 3,547.91

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Solution

The fourth proportional to 5,536.25, 7,638.11 and 3,547.91 is: 4,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.25 : 7,638.11 = 3,547.91 : x
  2. Step 2: Convert to fraction form
    5,536.25/7,638.11 = 3,547.91/x
  3. Step 3: Cross multiply
    5,536.25x = 7,638.11 × 3,547.91
  4. Step 4: Simplify right side
    5,536.25x = 27,099,318.50
  5. Step 5: Solve for x
    x = 27,099,318.50/5,536.25
  6. Step 6: Final answer
    x = 4,894.88

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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.