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Finding the Fourth Proportional to 5,478.12, 8,205.03 and 2,547.54

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Solution

The fourth proportional to 5,478.12, 8,205.03 and 2,547.54 is: 3,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.12 : 8,205.03 = 2,547.54 : x
  2. Step 2: Convert to fraction form
    5,478.12/8,205.03 = 2,547.54/x
  3. Step 3: Cross multiply
    5,478.12x = 8,205.03 × 2,547.54
  4. Step 4: Simplify right side
    5,478.12x = 20,902,642.13
  5. Step 5: Solve for x
    x = 20,902,642.13/5,478.12
  6. Step 6: Final answer
    x = 3,815.66

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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.