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Finding the Fourth Proportional to 5,477.16, 8,217.90 and 2,397

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Solution

The fourth proportional to 5,477.16, 8,217.90 and 2,397 is: 3,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.16 : 8,217.90 = 2,397 : x
  2. Step 2: Convert to fraction form
    5,477.16/8,217.90 = 2,397/x
  3. Step 3: Cross multiply
    5,477.16x = 8,217.90 × 2,397
  4. Step 4: Simplify right side
    5,477.16x = 19,698,306.30
  5. Step 5: Solve for x
    x = 19,698,306.30/5,477.16
  6. Step 6: Final answer
    x = 3,596.45

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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.