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Finding the Fourth Proportional to 5,465.88, 8,204.52 and 2,547

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Solution

The fourth proportional to 5,465.88, 8,204.52 and 2,547 is: 3,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.88 : 8,204.52 = 2,547 : x
  2. Step 2: Convert to fraction form
    5,465.88/8,204.52 = 2,547/x
  3. Step 3: Cross multiply
    5,465.88x = 8,204.52 × 2,547
  4. Step 4: Simplify right side
    5,465.88x = 20,896,912.44
  5. Step 5: Solve for x
    x = 20,896,912.44/5,465.88
  6. Step 6: Final answer
    x = 3,823.16

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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.