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Finding the Fourth Proportional to 5,547, 7,654.86 and 3,063

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Solution

The fourth proportional to 5,547, 7,654.86 and 3,063 is: 4,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547 : 7,654.86 = 3,063 : x
  2. Step 2: Convert to fraction form
    5,547/7,654.86 = 3,063/x
  3. Step 3: Cross multiply
    5,547x = 7,654.86 × 3,063
  4. Step 4: Simplify right side
    5,547x = 23,446,836.18
  5. Step 5: Solve for x
    x = 23,446,836.18/5,547
  6. Step 6: Final answer
    x = 4,226.94

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Why These Related Problems?

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