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Finding the Fourth Proportional to 5,547.56, 8,322.56 and 2,084.81

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Solution

The fourth proportional to 5,547.56, 8,322.56 and 2,084.81 is: 3,127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.56 : 8,322.56 = 2,084.81 : x
  2. Step 2: Convert to fraction form
    5,547.56/8,322.56 = 2,084.81/x
  3. Step 3: Cross multiply
    5,547.56x = 8,322.56 × 2,084.81
  4. Step 4: Simplify right side
    5,547.56x = 17,350,982.33
  5. Step 5: Solve for x
    x = 17,350,982.33/5,547.56
  6. Step 6: Final answer
    x = 3,127.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.